3(x+4)-2x=-2(x+6)+5

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Solution for 3(x+4)-2x=-2(x+6)+5 equation: 


Simplifying
3(x + 4) + -2x = -2(x + 6) + 5

Reorder the terms:
3(4 + x) + -2x = -2(x + 6) + 5
(4 * 3 + x * 3) + -2x = -2(x + 6) + 5
(12 + 3x) + -2x = -2(x + 6) + 5

Combine like terms: 3x + -2x = 1x
12 + 1x = -2(x + 6) + 5

Reorder the terms:
12 + 1x = -2(6 + x) + 5
12 + 1x = (6 * -2 + x * -2) + 5
12 + 1x = (-12 + -2x) + 5

Reorder the terms:
12 + 1x = -12 + 5 + -2x

Combine like terms: -12 + 5 = -7
12 + 1x = -7 + -2x

Solving
12 + 1x = -7 + -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.
12 + 1x + 2x = -7 + -2x + 2x

Combine like terms: 1x + 2x = 3x
12 + 3x = -7 + -2x + 2x

Combine like terms: -2x + 2x = 0
12 + 3x = -7 + 0
12 + 3x = -7

Add '-12' to each side of the equation.
12 + -12 + 3x = -7 + -12

Combine like terms: 12 + -12 = 0
0 + 3x = -7 + -12
3x = -7 + -12

Combine like terms: -7 + -12 = -19
3x = -19

Divide each side by '3'.
x = -6.333333333

Simplifying
x = -6.333333333

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