-6(3-2x)=8-3(1-2x)+7

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Solution for -6(3-2x)=8-3(1-2x)+7 equation: 


Simplifying
-6(3 + -2x) = 8 + -3(1 + -2x) + 7
(3 * -6 + -2x * -6) = 8 + -3(1 + -2x) + 7
(-18 + 12x) = 8 + -3(1 + -2x) + 7
-18 + 12x = 8 + (1 * -3 + -2x * -3) + 7
-18 + 12x = 8 + (-3 + 6x) + 7

Reorder the terms:
-18 + 12x = 8 + -3 + 7 + 6x

Combine like terms: 8 + -3 = 5
-18 + 12x = 5 + 7 + 6x

Combine like terms: 5 + 7 = 12
-18 + 12x = 12 + 6x

Solving
-18 + 12x = 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.
-18 + 12x + -6x = 12 + 6x + -6x

Combine like terms: 12x + -6x = 6x
-18 + 6x = 12 + 6x + -6x

Combine like terms: 6x + -6x = 0
-18 + 6x = 12 + 0
-18 + 6x = 12

Add '18' to each side of the equation.
-18 + 18 + 6x = 12 + 18

Combine like terms: -18 + 18 = 0
0 + 6x = 12 + 18
6x = 12 + 18

Combine like terms: 12 + 18 = 30
6x = 30

Divide each side by '6'.
x = 5

Simplifying
x = 5

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