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

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


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

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

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

Combine like terms: -6 + -8 = -14
-14 + 12x = 2(x + -4)

Reorder the terms:
-14 + 12x = 2(-4 + x)
-14 + 12x = (-4 * 2 + x * 2)
-14 + 12x = (-8 + 2x)

Solving
-14 + 12x = -8 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-14 + 12x + -2x = -8 + 2x + -2x

Combine like terms: 12x + -2x = 10x
-14 + 10x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
-14 + 10x = -8 + 0
-14 + 10x = -8

Add '14' to each side of the equation.
-14 + 14 + 10x = -8 + 14

Combine like terms: -14 + 14 = 0
0 + 10x = -8 + 14
10x = -8 + 14

Combine like terms: -8 + 14 = 6
10x = 6

Divide each side by '10'.
x = 0.6

Simplifying
x = 0.6

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