-18=3(x+7)-8(x-2)

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Solution for -18=3(x+7)-8(x-2) equation:


Simplifying
-18 = 3(x + 7) + -8(x + -2)

Reorder the terms:
-18 = 3(7 + x) + -8(x + -2)
-18 = (7 * 3 + x * 3) + -8(x + -2)
-18 = (21 + 3x) + -8(x + -2)

Reorder the terms:
-18 = 21 + 3x + -8(-2 + x)
-18 = 21 + 3x + (-2 * -8 + x * -8)
-18 = 21 + 3x + (16 + -8x)

Reorder the terms:
-18 = 21 + 16 + 3x + -8x

Combine like terms: 21 + 16 = 37
-18 = 37 + 3x + -8x

Combine like terms: 3x + -8x = -5x
-18 = 37 + -5x

Solving
-18 = 37 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-18 + 5x = 37 + -5x + 5x

Combine like terms: -5x + 5x = 0
-18 + 5x = 37 + 0
-18 + 5x = 37

Add '18' to each side of the equation.
-18 + 18 + 5x = 37 + 18

Combine like terms: -18 + 18 = 0
0 + 5x = 37 + 18
5x = 37 + 18

Combine like terms: 37 + 18 = 55
5x = 55

Divide each side by '5'.
x = 11

Simplifying
x = 11

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