3(4x-2)=6x-4(3+x)

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Solution for 3(4x-2)=6x-4(3+x) equation:


Simplifying
3(4x + -2) = 6x + -4(3 + x)

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

Reorder the terms:
-6 + 12x = -12 + 6x + -4x

Combine like terms: 6x + -4x = 2x
-6 + 12x = -12 + 2x

Solving
-6 + 12x = -12 + 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.
-6 + 12x + -2x = -12 + 2x + -2x

Combine like terms: 12x + -2x = 10x
-6 + 10x = -12 + 2x + -2x

Combine like terms: 2x + -2x = 0
-6 + 10x = -12 + 0
-6 + 10x = -12

Add '6' to each side of the equation.
-6 + 6 + 10x = -12 + 6

Combine like terms: -6 + 6 = 0
0 + 10x = -12 + 6
10x = -12 + 6

Combine like terms: -12 + 6 = -6
10x = -6

Divide each side by '10'.
x = -0.6

Simplifying
x = -0.6

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