Question

2(-3 x + 1) = 9 x - 8

Answer 1

Hi!

First let's use the distributive property.
2(-3x + 1) = 9x - 8

Multiply
2 x -3, and 2 x 1.
-6x + 2 = 9x - 8

Add 8 to both sides.
-6x + 2 + 8 = 9x - 8 + 8
-6x + 10 = 9x

Add 6x to both sides.
-6x + 6x + 10 = 9x + 6x
10 = 15x

Divide by 15 on both sides.
10/15 = 15x/15
10/15 = x

Which can be simplified to..
2/3 = x

The answer is 2/3 = x

Hope this helps! :)

Answer 2

2(-3x + 1) = 9x - 8

Simplify.

(2 · -3x) + (2 · 1) = 9x - 8

Simplify.

-6x + 2 = 9x - 8

Subtract 2 from both sides.

-6x = 9x - 8 - 2

Subtract 9x from both sides.

-6x - 9x = -8 - 2

Simplify.

-15x = -10

Divide both sides by -15.

x = 10/15

Simplify.

x = 2/3

Check your work! :)

To check your work, simply plug in 2/3 for x in our original equation.

2(-3x + 1) = 9x - 8

2{-3(2/3) + 1} = 9(2/3) - 8

Simplify.

2(-2 + 1) = 6 - 8

Simplify.

2(-1) = 6 - 8

Simplify.

-2 = -2

Therefore, x = 2/3

~Hope I helped!~