-5(x-3)+7x=9x-8

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Solution for -5(x-3)+7x=9x-8 equation:


Simplifying
-5(x + -3) + 7x = 9x + -8

Reorder the terms:
-5(-3 + x) + 7x = 9x + -8
(-3 * -5 + x * -5) + 7x = 9x + -8
(15 + -5x) + 7x = 9x + -8

Combine like terms: -5x + 7x = 2x
15 + 2x = 9x + -8

Reorder the terms:
15 + 2x = -8 + 9x

Solving
15 + 2x = -8 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
15 + 2x + -9x = -8 + 9x + -9x

Combine like terms: 2x + -9x = -7x
15 + -7x = -8 + 9x + -9x

Combine like terms: 9x + -9x = 0
15 + -7x = -8 + 0
15 + -7x = -8

Add '-15' to each side of the equation.
15 + -15 + -7x = -8 + -15

Combine like terms: 15 + -15 = 0
0 + -7x = -8 + -15
-7x = -8 + -15

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

Divide each side by '-7'.
x = 3.285714286

Simplifying
x = 3.285714286

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