-2(x+9)=-(6-5x)+2

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Solution for -2(x+9)=-(6-5x)+2 equation:


Simplifying
-2(x + 9) = -1(6 + -5x) + 2

Reorder the terms:
-2(9 + x) = -1(6 + -5x) + 2
(9 * -2 + x * -2) = -1(6 + -5x) + 2
(-18 + -2x) = -1(6 + -5x) + 2
-18 + -2x = (6 * -1 + -5x * -1) + 2
-18 + -2x = (-6 + 5x) + 2

Reorder the terms:
-18 + -2x = -6 + 2 + 5x

Combine like terms: -6 + 2 = -4
-18 + -2x = -4 + 5x

Solving
-18 + -2x = -4 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-18 + -2x + -5x = -4 + 5x + -5x

Combine like terms: -2x + -5x = -7x
-18 + -7x = -4 + 5x + -5x

Combine like terms: 5x + -5x = 0
-18 + -7x = -4 + 0
-18 + -7x = -4

Add '18' to each side of the equation.
-18 + 18 + -7x = -4 + 18

Combine like terms: -18 + 18 = 0
0 + -7x = -4 + 18
-7x = -4 + 18

Combine like terms: -4 + 18 = 14
-7x = 14

Divide each side by '-7'.
x = -2

Simplifying
x = -2

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