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

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


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

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

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

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

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

Solving
-4 + 2x = -8 + 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.
-4 + 2x + -3x = -8 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-4 + -1x = -8 + 3x + -3x

Combine like terms: 3x + -3x = 0
-4 + -1x = -8 + 0
-4 + -1x = -8

Add '4' to each side of the equation.
-4 + 4 + -1x = -8 + 4

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

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

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

Simplifying
x = 4

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