3(2x-4)+6x=2(5x-3)-4

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Solution for 3(2x-4)+6x=2(5x-3)-4 equation:


Simplifying
3(2x + -4) + 6x = 2(5x + -3) + -4

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

Combine like terms: 6x + 6x = 12x
-12 + 12x = 2(5x + -3) + -4

Reorder the terms:
-12 + 12x = 2(-3 + 5x) + -4
-12 + 12x = (-3 * 2 + 5x * 2) + -4
-12 + 12x = (-6 + 10x) + -4

Reorder the terms:
-12 + 12x = -6 + -4 + 10x

Combine like terms: -6 + -4 = -10
-12 + 12x = -10 + 10x

Solving
-12 + 12x = -10 + 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 + 12x + -10x = -10 + 10x + -10x

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

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

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

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

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

Divide each side by '2'.
x = 1

Simplifying
x = 1

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