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

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


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

Reorder the terms:
5x + -3(-4 + x) = -2 + 4x + -2
5x + (-4 * -3 + x * -3) = -2 + 4x + -2
5x + (12 + -3x) = -2 + 4x + -2

Reorder the terms:
12 + 5x + -3x = -2 + 4x + -2

Combine like terms: 5x + -3x = 2x
12 + 2x = -2 + 4x + -2

Reorder the terms:
12 + 2x = -2 + -2 + 4x

Combine like terms: -2 + -2 = -4
12 + 2x = -4 + 4x

Solving
12 + 2x = -4 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
12 + 2x + -4x = -4 + 4x + -4x

Combine like terms: 2x + -4x = -2x
12 + -2x = -4 + 4x + -4x

Combine like terms: 4x + -4x = 0
12 + -2x = -4 + 0
12 + -2x = -4

Add '-12' to each side of the equation.
12 + -12 + -2x = -4 + -12

Combine like terms: 12 + -12 = 0
0 + -2x = -4 + -12
-2x = -4 + -12

Combine like terms: -4 + -12 = -16
-2x = -16

Divide each side by '-2'.
x = 8

Simplifying
x = 8

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