3(2x-5)-12=2(8x+4)

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Solution for 3(2x-5)-12=2(8x+4) equation:


Simplifying
3(2x + -5) + -12 = 2(8x + 4)

Reorder the terms:
3(-5 + 2x) + -12 = 2(8x + 4)
(-5 * 3 + 2x * 3) + -12 = 2(8x + 4)
(-15 + 6x) + -12 = 2(8x + 4)

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

Combine like terms: -15 + -12 = -27
-27 + 6x = 2(8x + 4)

Reorder the terms:
-27 + 6x = 2(4 + 8x)
-27 + 6x = (4 * 2 + 8x * 2)
-27 + 6x = (8 + 16x)

Solving
-27 + 6x = 8 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
-27 + 6x + -16x = 8 + 16x + -16x

Combine like terms: 6x + -16x = -10x
-27 + -10x = 8 + 16x + -16x

Combine like terms: 16x + -16x = 0
-27 + -10x = 8 + 0
-27 + -10x = 8

Add '27' to each side of the equation.
-27 + 27 + -10x = 8 + 27

Combine like terms: -27 + 27 = 0
0 + -10x = 8 + 27
-10x = 8 + 27

Combine like terms: 8 + 27 = 35
-10x = 35

Divide each side by '-10'.
x = -3.5

Simplifying
x = -3.5

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