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

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


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

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

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

Combine like terms: 12 + 3 = 15
15 + -2x = 3(x + 4) + 2

Reorder the terms:
15 + -2x = 3(4 + x) + 2
15 + -2x = (4 * 3 + x * 3) + 2
15 + -2x = (12 + 3x) + 2

Reorder the terms:
15 + -2x = 12 + 2 + 3x

Combine like terms: 12 + 2 = 14
15 + -2x = 14 + 3x

Solving
15 + -2x = 14 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
15 + -2x + -3x = 14 + 3x + -3x

Combine like terms: -2x + -3x = -5x
15 + -5x = 14 + 3x + -3x

Combine like terms: 3x + -3x = 0
15 + -5x = 14 + 0
15 + -5x = 14

Add '-15' to each side of the equation.
15 + -15 + -5x = 14 + -15

Combine like terms: 15 + -15 = 0
0 + -5x = 14 + -15
-5x = 14 + -15

Combine like terms: 14 + -15 = -1
-5x = -1

Divide each side by '-5'.
x = 0.2

Simplifying
x = 0.2

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