2(x-4)+3(x+15)=2x-2

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Solution for 2(x-4)+3(x+15)=2x-2 equation: 


Simplifying
2(x + -4) + 3(x + 15) = 2x + -2

Reorder the terms:
2(-4 + x) + 3(x + 15) = 2x + -2
(-4 * 2 + x * 2) + 3(x + 15) = 2x + -2
(-8 + 2x) + 3(x + 15) = 2x + -2

Reorder the terms:
-8 + 2x + 3(15 + x) = 2x + -2
-8 + 2x + (15 * 3 + x * 3) = 2x + -2
-8 + 2x + (45 + 3x) = 2x + -2

Reorder the terms:
-8 + 45 + 2x + 3x = 2x + -2

Combine like terms: -8 + 45 = 37
37 + 2x + 3x = 2x + -2

Combine like terms: 2x + 3x = 5x
37 + 5x = 2x + -2

Reorder the terms:
37 + 5x = -2 + 2x

Solving
37 + 5x = -2 + 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.
37 + 5x + -2x = -2 + 2x + -2x

Combine like terms: 5x + -2x = 3x
37 + 3x = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
37 + 3x = -2 + 0
37 + 3x = -2

Add '-37' to each side of the equation.
37 + -37 + 3x = -2 + -37

Combine like terms: 37 + -37 = 0
0 + 3x = -2 + -37
3x = -2 + -37

Combine like terms: -2 + -37 = -39
3x = -39

Divide each side by '3'.
x = -13

Simplifying
x = -13

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