Question

Can someone help please?
Solve each of the following equations
7x+7(-2x-3)=-22-6x

Answer 1

You need to distribute, combine like terms, get variables on one side, and constants on the other.

Answer 2

x=1

Answer 3

@Elieroth
We don't just give answers here without proper explanation.
For future reference,
http://openstudy.com/code-of-conduct

Answer 4

ok I'm sry

Answer 5

Thanks Austin

Answer 6

No problem, do you still need help, or do you understand how to get to the answer?

Answer 7

can you run through step by step please?

Answer 8

Sure.
\(7x+7(-2x-3)=-22-6x\)

Distribute.
\(7x-14x-21=-22-6x\)

Then combine like terms.
\(-7x-21=-22-6x\)

Variables on one side, constants on the other.
\(-21-(-22)=-6x-(-7x)=-21+22=-6x+7x\)

Therefore!
\(1=x\)

Answer 9

oh I see where I messed up Thanks so much!

Answer 10

No problemo!

Answer 11

Simplifying
7x + 7(-2x + -3) = -22 + -6x

Reorder the terms:
7x + 7(-3 + -2x) = -22 + -6x
7x + (-3 * 7 + -2x * 7) = -22 + -6x
7x + (-21 + -14x) = -22 + -6x

Reorder the terms:
-21 + 7x + -14x = -22 + -6x

Combine like terms: 7x + -14x = -7x
-21 + -7x = -22 + -6x

Solving
-21 + -7x = -22 + -6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '6x' to each side of the equation.
-21 + -7x + 6x = -22 + -6x + 6x

Combine like terms: -7x + 6x = -1x
-21 + -1x = -22 + -6x + 6x

Combine like terms: -6x + 6x = 0
-21 + -1x = -22 + 0
-21 + -1x = -22

Add '21' to each side of the equation.
-21 + 21 + -1x = -22 + 21

Combine like terms: -21 + 21 = 0
0 + -1x = -22 + 21
-1x = -22 + 21

Combine like terms: -22 + 21 = -1
-1x = -1

Divide each side by '-1'.
x = 1

Simplifying
x = 1

Answer 12

Thanks Elie :]

Answer 13

u r welcome