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

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


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

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

Reorder the terms:
12 + 2x = 3(-5 + x)
12 + 2x = (-5 * 3 + x * 3)
12 + 2x = (-15 + 3x)

Solving
12 + 2x = -15 + 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.
12 + 2x + -3x = -15 + 3x + -3x

Combine like terms: 2x + -3x = -1x
12 + -1x = -15 + 3x + -3x

Combine like terms: 3x + -3x = 0
12 + -1x = -15 + 0
12 + -1x = -15

Add '-12' to each side of the equation.
12 + -12 + -1x = -15 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = -15 + -12
-1x = -15 + -12

Combine like terms: -15 + -12 = -27
-1x = -27

Divide each side by '-1'.
x = 27

Simplifying
x = 27

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