2(3x-1)=4(3x-5)+12

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Solution for 2(3x-1)=4(3x-5)+12 equation:


Simplifying
2(3x + -1) = 4(3x + -5) + 12

Reorder the terms:
2(-1 + 3x) = 4(3x + -5) + 12
(-1 * 2 + 3x * 2) = 4(3x + -5) + 12
(-2 + 6x) = 4(3x + -5) + 12

Reorder the terms:
-2 + 6x = 4(-5 + 3x) + 12
-2 + 6x = (-5 * 4 + 3x * 4) + 12
-2 + 6x = (-20 + 12x) + 12

Reorder the terms:
-2 + 6x = -20 + 12 + 12x

Combine like terms: -20 + 12 = -8
-2 + 6x = -8 + 12x

Solving
-2 + 6x = -8 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-2 + 6x + -12x = -8 + 12x + -12x

Combine like terms: 6x + -12x = -6x
-2 + -6x = -8 + 12x + -12x

Combine like terms: 12x + -12x = 0
-2 + -6x = -8 + 0
-2 + -6x = -8

Add '2' to each side of the equation.
-2 + 2 + -6x = -8 + 2

Combine like terms: -2 + 2 = 0
0 + -6x = -8 + 2
-6x = -8 + 2

Combine like terms: -8 + 2 = -6
-6x = -6

Divide each side by '-6'.
x = 1

Simplifying
x = 1

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