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

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


Simplifying
(x + -8) + -1(x + 7) = 3x

Reorder the terms:
(-8 + x) + -1(x + 7) = 3x

Remove parenthesis around (-8 + x)
-8 + x + -1(x + 7) = 3x

Reorder the terms:
-8 + x + -1(7 + x) = 3x
-8 + x + (7 * -1 + x * -1) = 3x
-8 + x + (-7 + -1x) = 3x

Reorder the terms:
-8 + -7 + x + -1x = 3x

Combine like terms: -8 + -7 = -15
-15 + x + -1x = 3x

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

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

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

Add '15' to each side of the equation.
-15 + 15 + -3x = 0 + 15

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

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

Divide each side by '-3'.
x = -5

Simplifying
x = -5

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