4x-2(x-5)=-6+5x-8

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Solution for 4x-2(x-5)=-6+5x-8 equation: 


Simplifying
4x + -2(x + -5) = -6 + 5x + -8

Reorder the terms:
4x + -2(-5 + x) = -6 + 5x + -8
4x + (-5 * -2 + x * -2) = -6 + 5x + -8
4x + (10 + -2x) = -6 + 5x + -8

Reorder the terms:
10 + 4x + -2x = -6 + 5x + -8

Combine like terms: 4x + -2x = 2x
10 + 2x = -6 + 5x + -8

Reorder the terms:
10 + 2x = -6 + -8 + 5x

Combine like terms: -6 + -8 = -14
10 + 2x = -14 + 5x

Solving
10 + 2x = -14 + 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.
10 + 2x + -5x = -14 + 5x + -5x

Combine like terms: 2x + -5x = -3x
10 + -3x = -14 + 5x + -5x

Combine like terms: 5x + -5x = 0
10 + -3x = -14 + 0
10 + -3x = -14

Add '-10' to each side of the equation.
10 + -10 + -3x = -14 + -10

Combine like terms: 10 + -10 = 0
0 + -3x = -14 + -10
-3x = -14 + -10

Combine like terms: -14 + -10 = -24
-3x = -24

Divide each side by '-3'.
x = 8

Simplifying
x = 8

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