4x-12=2(x-5)+4(3-3x)

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Solution for 4x-12=2(x-5)+4(3-3x) equation:


Simplifying
4x + -12 = 2(x + -5) + 4(3 + -3x)

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

Reorder the terms:
-12 + 4x = 2(-5 + x) + 4(3 + -3x)
-12 + 4x = (-5 * 2 + x * 2) + 4(3 + -3x)
-12 + 4x = (-10 + 2x) + 4(3 + -3x)
-12 + 4x = -10 + 2x + (3 * 4 + -3x * 4)
-12 + 4x = -10 + 2x + (12 + -12x)

Reorder the terms:
-12 + 4x = -10 + 12 + 2x + -12x

Combine like terms: -10 + 12 = 2
-12 + 4x = 2 + 2x + -12x

Combine like terms: 2x + -12x = -10x
-12 + 4x = 2 + -10x

Solving
-12 + 4x = 2 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
-12 + 4x + 10x = 2 + -10x + 10x

Combine like terms: 4x + 10x = 14x
-12 + 14x = 2 + -10x + 10x

Combine like terms: -10x + 10x = 0
-12 + 14x = 2 + 0
-12 + 14x = 2

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

Combine like terms: -12 + 12 = 0
0 + 14x = 2 + 12
14x = 2 + 12

Combine like terms: 2 + 12 = 14
14x = 14

Divide each side by '14'.
x = 1

Simplifying
x = 1

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