6(1-x)-8x=10(x-3)+12

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Solution for 6(1-x)-8x=10(x-3)+12 equation:


Simplifying
6(1 + -1x) + -8x = 10(x + -3) + 12
(1 * 6 + -1x * 6) + -8x = 10(x + -3) + 12
(6 + -6x) + -8x = 10(x + -3) + 12

Combine like terms: -6x + -8x = -14x
6 + -14x = 10(x + -3) + 12

Reorder the terms:
6 + -14x = 10(-3 + x) + 12
6 + -14x = (-3 * 10 + x * 10) + 12
6 + -14x = (-30 + 10x) + 12

Reorder the terms:
6 + -14x = -30 + 12 + 10x

Combine like terms: -30 + 12 = -18
6 + -14x = -18 + 10x

Solving
6 + -14x = -18 + 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.
6 + -14x + -10x = -18 + 10x + -10x

Combine like terms: -14x + -10x = -24x
6 + -24x = -18 + 10x + -10x

Combine like terms: 10x + -10x = 0
6 + -24x = -18 + 0
6 + -24x = -18

Add '-6' to each side of the equation.
6 + -6 + -24x = -18 + -6

Combine like terms: 6 + -6 = 0
0 + -24x = -18 + -6
-24x = -18 + -6

Combine like terms: -18 + -6 = -24
-24x = -24

Divide each side by '-24'.
x = 1

Simplifying
x = 1

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