(15x+7)=(23x-17)

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Solution for (15x+7)=(23x-17) equation:


Simplifying
(15x + 7) = (23x + -17)

Reorder the terms:
(7 + 15x) = (23x + -17)

Remove parenthesis around (7 + 15x)
7 + 15x = (23x + -17)

Reorder the terms:
7 + 15x = (-17 + 23x)

Remove parenthesis around (-17 + 23x)
7 + 15x = -17 + 23x

Solving
7 + 15x = -17 + 23x

Solving for variable 'x'.

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

Add '-23x' to each side of the equation.
7 + 15x + -23x = -17 + 23x + -23x

Combine like terms: 15x + -23x = -8x
7 + -8x = -17 + 23x + -23x

Combine like terms: 23x + -23x = 0
7 + -8x = -17 + 0
7 + -8x = -17

Add '-7' to each side of the equation.
7 + -7 + -8x = -17 + -7

Combine like terms: 7 + -7 = 0
0 + -8x = -17 + -7
-8x = -17 + -7

Combine like terms: -17 + -7 = -24
-8x = -24

Divide each side by '-8'.
x = 3

Simplifying
x = 3

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