-2(-9x-2)+1=10x-43

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Solution for -2(-9x-2)+1=10x-43 equation:


Simplifying
-2(-9x + -2) + 1 = 10x + -43

Reorder the terms:
-2(-2 + -9x) + 1 = 10x + -43
(-2 * -2 + -9x * -2) + 1 = 10x + -43
(4 + 18x) + 1 = 10x + -43

Reorder the terms:
4 + 1 + 18x = 10x + -43

Combine like terms: 4 + 1 = 5
5 + 18x = 10x + -43

Reorder the terms:
5 + 18x = -43 + 10x

Solving
5 + 18x = -43 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
5 + 18x + -10x = -43 + 10x + -10x

Combine like terms: 18x + -10x = 8x
5 + 8x = -43 + 10x + -10x

Combine like terms: 10x + -10x = 0
5 + 8x = -43 + 0
5 + 8x = -43

Add '-5' to each side of the equation.
5 + -5 + 8x = -43 + -5

Combine like terms: 5 + -5 = 0
0 + 8x = -43 + -5
8x = -43 + -5

Combine like terms: -43 + -5 = -48
8x = -48

Divide each side by '8'.
x = -6

Simplifying
x = -6

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