3(5x-4)-4(2x-16)=6x+12

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Solution for 3(5x-4)-4(2x-16)=6x+12 equation:


Simplifying
3(5x + -4) + -4(2x + -16) = 6x + 12

Reorder the terms:
3(-4 + 5x) + -4(2x + -16) = 6x + 12
(-4 * 3 + 5x * 3) + -4(2x + -16) = 6x + 12
(-12 + 15x) + -4(2x + -16) = 6x + 12

Reorder the terms:
-12 + 15x + -4(-16 + 2x) = 6x + 12
-12 + 15x + (-16 * -4 + 2x * -4) = 6x + 12
-12 + 15x + (64 + -8x) = 6x + 12

Reorder the terms:
-12 + 64 + 15x + -8x = 6x + 12

Combine like terms: -12 + 64 = 52
52 + 15x + -8x = 6x + 12

Combine like terms: 15x + -8x = 7x
52 + 7x = 6x + 12

Reorder the terms:
52 + 7x = 12 + 6x

Solving
52 + 7x = 12 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
52 + 7x + -6x = 12 + 6x + -6x

Combine like terms: 7x + -6x = 1x
52 + 1x = 12 + 6x + -6x

Combine like terms: 6x + -6x = 0
52 + 1x = 12 + 0
52 + 1x = 12

Add '-52' to each side of the equation.
52 + -52 + 1x = 12 + -52

Combine like terms: 52 + -52 = 0
0 + 1x = 12 + -52
1x = 12 + -52

Combine like terms: 12 + -52 = -40
1x = -40

Divide each side by '1'.
x = -40

Simplifying
x = -40

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