4x-(2x-8)=5(x-2)+3

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Solution for 4x-(2x-8)=5(x-2)+3 equation: 


Simplifying
4x + -1(2x + -8) = 5(x + -2) + 3

Reorder the terms:
4x + -1(-8 + 2x) = 5(x + -2) + 3
4x + (-8 * -1 + 2x * -1) = 5(x + -2) + 3
4x + (8 + -2x) = 5(x + -2) + 3

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

Combine like terms: 4x + -2x = 2x
8 + 2x = 5(x + -2) + 3

Reorder the terms:
8 + 2x = 5(-2 + x) + 3
8 + 2x = (-2 * 5 + x * 5) + 3
8 + 2x = (-10 + 5x) + 3

Reorder the terms:
8 + 2x = -10 + 3 + 5x

Combine like terms: -10 + 3 = -7
8 + 2x = -7 + 5x

Solving
8 + 2x = -7 + 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.
8 + 2x + -5x = -7 + 5x + -5x

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

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

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

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

Combine like terms: -7 + -8 = -15
-3x = -15

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

Simplifying
x = 5

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