-2(x-4)=3x-2-5

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Solution for -2(x-4)=3x-2-5 equation:


Simplifying
-2(x + -4) = 3x + -2 + -5

Reorder the terms:
-2(-4 + x) = 3x + -2 + -5
(-4 * -2 + x * -2) = 3x + -2 + -5
(8 + -2x) = 3x + -2 + -5

Reorder the terms:
8 + -2x = -2 + -5 + 3x

Combine like terms: -2 + -5 = -7
8 + -2x = -7 + 3x

Solving
8 + -2x = -7 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
8 + -2x + -3x = -7 + 3x + -3x

Combine like terms: -2x + -3x = -5x
8 + -5x = -7 + 3x + -3x

Combine like terms: 3x + -3x = 0
8 + -5x = -7 + 0
8 + -5x = -7

Add '-8' to each side of the equation.
8 + -8 + -5x = -7 + -8

Combine like terms: 8 + -8 = 0
0 + -5x = -7 + -8
-5x = -7 + -8

Combine like terms: -7 + -8 = -15
-5x = -15

Divide each side by '-5'.
x = 3

Simplifying
x = 3

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