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

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


Simplifying
3(2 + -3x) + x = 10(x + 2) + -12
(2 * 3 + -3x * 3) + x = 10(x + 2) + -12
(6 + -9x) + x = 10(x + 2) + -12

Combine like terms: -9x + x = -8x
6 + -8x = 10(x + 2) + -12

Reorder the terms:
6 + -8x = 10(2 + x) + -12
6 + -8x = (2 * 10 + x * 10) + -12
6 + -8x = (20 + 10x) + -12

Reorder the terms:
6 + -8x = 20 + -12 + 10x

Combine like terms: 20 + -12 = 8
6 + -8x = 8 + 10x

Solving
6 + -8x = 8 + 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 + -8x + -10x = 8 + 10x + -10x

Combine like terms: -8x + -10x = -18x
6 + -18x = 8 + 10x + -10x

Combine like terms: 10x + -10x = 0
6 + -18x = 8 + 0
6 + -18x = 8

Add '-6' to each side of the equation.
6 + -6 + -18x = 8 + -6

Combine like terms: 6 + -6 = 0
0 + -18x = 8 + -6
-18x = 8 + -6

Combine like terms: 8 + -6 = 2
-18x = 2

Divide each side by '-18'.
x = -0.1111111111

Simplifying
x = -0.1111111111

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