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

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


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

Reorder the terms:
3(-6 + x) + 2 = 5(x + 2) + -4
(-6 * 3 + x * 3) + 2 = 5(x + 2) + -4
(-18 + 3x) + 2 = 5(x + 2) + -4

Reorder the terms:
-18 + 2 + 3x = 5(x + 2) + -4

Combine like terms: -18 + 2 = -16
-16 + 3x = 5(x + 2) + -4

Reorder the terms:
-16 + 3x = 5(2 + x) + -4
-16 + 3x = (2 * 5 + x * 5) + -4
-16 + 3x = (10 + 5x) + -4

Reorder the terms:
-16 + 3x = 10 + -4 + 5x

Combine like terms: 10 + -4 = 6
-16 + 3x = 6 + 5x

Solving
-16 + 3x = 6 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-16 + 3x + -5x = 6 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-16 + -2x = 6 + 5x + -5x

Combine like terms: 5x + -5x = 0
-16 + -2x = 6 + 0
-16 + -2x = 6

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

Combine like terms: -16 + 16 = 0
0 + -2x = 6 + 16
-2x = 6 + 16

Combine like terms: 6 + 16 = 22
-2x = 22

Divide each side by '-2'.
x = -11

Simplifying
x = -11

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