5x-(2x+8)=4x-12

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Solution for 5x-(2x+8)=4x-12 equation:


Simplifying
5x + -1(2x + 8) = 4x + -12

Reorder the terms:
5x + -1(8 + 2x) = 4x + -12
5x + (8 * -1 + 2x * -1) = 4x + -12
5x + (-8 + -2x) = 4x + -12

Reorder the terms:
-8 + 5x + -2x = 4x + -12

Combine like terms: 5x + -2x = 3x
-8 + 3x = 4x + -12

Reorder the terms:
-8 + 3x = -12 + 4x

Solving
-8 + 3x = -12 + 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.
-8 + 3x + -4x = -12 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-8 + -1x = -12 + 4x + -4x

Combine like terms: 4x + -4x = 0
-8 + -1x = -12 + 0
-8 + -1x = -12

Add '8' to each side of the equation.
-8 + 8 + -1x = -12 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = -12 + 8
-1x = -12 + 8

Combine like terms: -12 + 8 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

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