Solve 4x – 5 = 11. Show each step of your work.

Question

Solve 4x – 5 = 11.  Show each step of your work.

cggurumanjunath · Answer

add 5 on both sides

calculusxy · Answer

$\large 4x - 5 = 11$ 

Add $\large 5$  to both sides to isolate x. 
$\large 4x - 5 + 5 = 11 + 5$ 

Now you have:
$\large 4x = 16$ 

Use the division property of equality by dividing 4 both sides. 
$\large \frac{4x}{4} = \frac{16}{4}$ 

Then you have:
$\large x = 4$

cggurumanjunath · Answer

4x-5+5=11+5

dallaslifebaby01 · Answer

okay thanks i wasn't sure if i did it right! i have 2 more questions could you help me with those to?

calculusxy · Answer

Can try ..

cggurumanjunath · Answer

we add 5 to isolate the variable.

dallaslifebaby01 · Answer

thanks

dallaslifebaby01 · Answer

one second

dallaslifebaby01 · Answer

Solve 5x + 4 = 3x – 8.  Show each step of your work.

cggurumanjunath · Answer

is that step clear ?

dallaslifebaby01 · Answer

i understand the first one and i had previously worked it out but i wasnt sure if i did it correctly

calculusxy · Answer

It's basically the same thing but this time you need to combine the like terms, meaning the $x$ first. 

$\large 5x + 4 = 3x - 8$ 

Put the coefficients with the $\large x$ together. 
$\large 5x - 3x + 4 = -8$

Now you have:
$\large 2x + 4 = -8$ 

Do the same things as above now:
$\large 2x + 4 - 4 = -8 - 4$ 

Penultimately, you have:
$\large 2x = -12$ 

Divide both sides by 2 to get both:
$\large x = -6$ 

You can plug in $\large -6$ for $\large x$ in the equation to see whether it is correct or not.

dallaslifebaby01 · Answer

okay the last one is Solve 7(x + 8) + 2(x – 4) = 12.  Show each step of your work.

calculusxy · Answer

Exactly the same thing now with distributive property:
$7x + 56 + 2x - 8 = 12$ 

I think you should be able to solve it from here. Use previous posts as references if needed.

dallaslifebaby01 · Answer

okay thanks

calculusxy · Answer

$\color{#0cbb34}{\text{Originally Posted by}}$ @calculusxy
It's basically the same thing but this time you need to combine the like terms, meaning the $x$ first. 

$\large 5x + 4 = 3x - 8$ 

Put the coefficients with the $\large x$ together. 
$\large 5x - 3x + 4 = -8$

Now you have:
$\large 2x + 4 = -8$ 

Do the same things as above now:
$\large 2x + 4 - 4 = -8 - 4$ 

Penultimately, you have:
$\large 2x = -12$ 

Divide both sides by 2 to get both:
$\large x = -6$ 

You can plug in $\large -6$ for $\large x$ in the equation to see whether it is correct or not.
$\color{#0cbb34}{\text{End of Quote}}$

Use this one especially...

calculusxy · Answer

@DallasLifeBaby01 You're welcome :)