-8(2x-3)-12=14-(-10x+15)

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Solution for -8(2x-3)-12=14-(-10x+15) equation: 


Simplifying
-8(2x + -3) + -12 = 14 + -1(-10x + 15)

Reorder the terms:
-8(-3 + 2x) + -12 = 14 + -1(-10x + 15)
(-3 * -8 + 2x * -8) + -12 = 14 + -1(-10x + 15)
(24 + -16x) + -12 = 14 + -1(-10x + 15)

Reorder the terms:
24 + -12 + -16x = 14 + -1(-10x + 15)

Combine like terms: 24 + -12 = 12
12 + -16x = 14 + -1(-10x + 15)

Reorder the terms:
12 + -16x = 14 + -1(15 + -10x)
12 + -16x = 14 + (15 * -1 + -10x * -1)
12 + -16x = 14 + (-15 + 10x)

Combine like terms: 14 + -15 = -1
12 + -16x = -1 + 10x

Solving
12 + -16x = -1 + 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 + -16x + -10x = -1 + 10x + -10x

Combine like terms: -16x + -10x = -26x
12 + -26x = -1 + 10x + -10x

Combine like terms: 10x + -10x = 0
12 + -26x = -1 + 0
12 + -26x = -1

Add '-12' to each side of the equation.
12 + -12 + -26x = -1 + -12

Combine like terms: 12 + -12 = 0
0 + -26x = -1 + -12
-26x = -1 + -12

Combine like terms: -1 + -12 = -13
-26x = -13

Divide each side by '-26'.
x = 0.5

Simplifying
x = 0.5

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