3(1-2x)+12=10-2(x-3)

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Solution for 3(1-2x)+12=10-2(x-3) equation: 


Simplifying
3(1 + -2x) + 12 = 10 + -2(x + -3)
(1 * 3 + -2x * 3) + 12 = 10 + -2(x + -3)
(3 + -6x) + 12 = 10 + -2(x + -3)

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

Combine like terms: 3 + 12 = 15
15 + -6x = 10 + -2(x + -3)

Reorder the terms:
15 + -6x = 10 + -2(-3 + x)
15 + -6x = 10 + (-3 * -2 + x * -2)
15 + -6x = 10 + (6 + -2x)

Combine like terms: 10 + 6 = 16
15 + -6x = 16 + -2x

Solving
15 + -6x = 16 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
15 + -6x + 2x = 16 + -2x + 2x

Combine like terms: -6x + 2x = -4x
15 + -4x = 16 + -2x + 2x

Combine like terms: -2x + 2x = 0
15 + -4x = 16 + 0
15 + -4x = 16

Add '-15' to each side of the equation.
15 + -15 + -4x = 16 + -15

Combine like terms: 15 + -15 = 0
0 + -4x = 16 + -15
-4x = 16 + -15

Combine like terms: 16 + -15 = 1
-4x = 1

Divide each side by '-4'.
x = -0.25

Simplifying
x = -0.25

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