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

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


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

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

Reorder the terms:
8 + 5x = 3(-4 + 2x)
8 + 5x = (-4 * 3 + 2x * 3)
8 + 5x = (-12 + 6x)

Solving
8 + 5x = -12 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
8 + 5x + -6x = -12 + 6x + -6x

Combine like terms: 5x + -6x = -1x
8 + -1x = -12 + 6x + -6x

Combine like terms: 6x + -6x = 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 = -20
-1x = -20

Divide each side by '-1'.
x = 20

Simplifying
x = 20

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