2(x+3)+8=3(x-1)+15

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Solution for 2(x+3)+8=3(x-1)+15 equation: 


Simplifying
2(x + 3) + 8 = 3(x + -1) + 15

Reorder the terms:
2(3 + x) + 8 = 3(x + -1) + 15
(3 * 2 + x * 2) + 8 = 3(x + -1) + 15
(6 + 2x) + 8 = 3(x + -1) + 15

Reorder the terms:
6 + 8 + 2x = 3(x + -1) + 15

Combine like terms: 6 + 8 = 14
14 + 2x = 3(x + -1) + 15

Reorder the terms:
14 + 2x = 3(-1 + x) + 15
14 + 2x = (-1 * 3 + x * 3) + 15
14 + 2x = (-3 + 3x) + 15

Reorder the terms:
14 + 2x = -3 + 15 + 3x

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

Solving
14 + 2x = 12 + 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.
14 + 2x + -3x = 12 + 3x + -3x

Combine like terms: 2x + -3x = -1x
14 + -1x = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0
14 + -1x = 12 + 0
14 + -1x = 12

Add '-14' to each side of the equation.
14 + -14 + -1x = 12 + -14

Combine like terms: 14 + -14 = 0
0 + -1x = 12 + -14
-1x = 12 + -14

Combine like terms: 12 + -14 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

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