3(x+5)=(x-8)+7

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Solution for 3(x+5)=(x-8)+7 equation:


Simplifying
3(x + 5) = (x + -8) + 7

Reorder the terms:
3(5 + x) = (x + -8) + 7
(5 * 3 + x * 3) = (x + -8) + 7
(15 + 3x) = (x + -8) + 7

Reorder the terms:
15 + 3x = (-8 + x) + 7

Remove parenthesis around (-8 + x)
15 + 3x = -8 + x + 7

Reorder the terms:
15 + 3x = -8 + 7 + x

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

Solving
15 + 3x = -1 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
15 + 3x + -1x = -1 + x + -1x

Combine like terms: 3x + -1x = 2x
15 + 2x = -1 + x + -1x

Combine like terms: x + -1x = 0
15 + 2x = -1 + 0
15 + 2x = -1

Add '-15' to each side of the equation.
15 + -15 + 2x = -1 + -15

Combine like terms: 15 + -15 = 0
0 + 2x = -1 + -15
2x = -1 + -15

Combine like terms: -1 + -15 = -16
2x = -16

Divide each side by '2'.
x = -8

Simplifying
x = -8

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