Question

An equation is shown below:

4(2x - 5) + 15 = 11

Write the steps you will use to solve the equation and explain each step.

Answer 1

First, do you know the rules of PEMDAS?

Answer 2

P-parenthesis,
E-Exponents,
M-Multiplication,
D-Division,
A-Addition,
S-Subtraction

Answer 3

The distributive property says \(a(b-c) = a(b)-a(c)\)
So the first step would be to distribute the parenthesis
\(4(2x - 5) + 15 = 11\\4(2x)-4(5)+15=11\\8x-20+15=11\)
From there you want to add the like terms
\(8x-5=11\)
Then you want to isolate the variable
\(8x-5+5=11+5\\8x=16\)
Then make it 1x
\(\frac{8x}{8}=\frac{16}{8}\\x=2\)

Answer 4

Thanks for helping

Answer 5

yw~