(7x+15)=(10x-9)

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Solution for (7x+15)=(10x-9) equation:


Simplifying
(7x + 15) = (10x + -9)

Reorder the terms:
(15 + 7x) = (10x + -9)

Remove parenthesis around (15 + 7x)
15 + 7x = (10x + -9)

Reorder the terms:
15 + 7x = (-9 + 10x)

Remove parenthesis around (-9 + 10x)
15 + 7x = -9 + 10x

Solving
15 + 7x = -9 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
15 + 7x + -10x = -9 + 10x + -10x

Combine like terms: 7x + -10x = -3x
15 + -3x = -9 + 10x + -10x

Combine like terms: 10x + -10x = 0
15 + -3x = -9 + 0
15 + -3x = -9

Add '-15' to each side of the equation.
15 + -15 + -3x = -9 + -15

Combine like terms: 15 + -15 = 0
0 + -3x = -9 + -15
-3x = -9 + -15

Combine like terms: -9 + -15 = -24
-3x = -24

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

Simplifying
x = 8

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