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

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Solution for -8(2x+1)=2(-9x+8)-2 equation:


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

Reorder the terms:
-8(1 + 2x) = 2(-9x + 8) + -2
(1 * -8 + 2x * -8) = 2(-9x + 8) + -2
(-8 + -16x) = 2(-9x + 8) + -2

Reorder the terms:
-8 + -16x = 2(8 + -9x) + -2
-8 + -16x = (8 * 2 + -9x * 2) + -2
-8 + -16x = (16 + -18x) + -2

Reorder the terms:
-8 + -16x = 16 + -2 + -18x

Combine like terms: 16 + -2 = 14
-8 + -16x = 14 + -18x

Solving
-8 + -16x = 14 + -18x

Solving for variable 'x'.

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

Add '18x' to each side of the equation.
-8 + -16x + 18x = 14 + -18x + 18x

Combine like terms: -16x + 18x = 2x
-8 + 2x = 14 + -18x + 18x

Combine like terms: -18x + 18x = 0
-8 + 2x = 14 + 0
-8 + 2x = 14

Add '8' to each side of the equation.
-8 + 8 + 2x = 14 + 8

Combine like terms: -8 + 8 = 0
0 + 2x = 14 + 8
2x = 14 + 8

Combine like terms: 14 + 8 = 22
2x = 22

Divide each side by '2'.
x = 11

Simplifying
x = 11

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