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

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


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

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

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

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

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

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

Solving
-37 + 5x = -2

Solving for variable 'x'.

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

Add '37' to each side of the equation.
-37 + 37 + 5x = -2 + 37

Combine like terms: -37 + 37 = 0
0 + 5x = -2 + 37
5x = -2 + 37

Combine like terms: -2 + 37 = 35
5x = 35

Divide each side by '5'.
x = 7

Simplifying
x = 7

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