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

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


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

Reorder the terms:
9x + -7(5 + x) = 8x + -9
9x + (5 * -7 + x * -7) = 8x + -9
9x + (-35 + -7x) = 8x + -9

Reorder the terms:
-35 + 9x + -7x = 8x + -9

Combine like terms: 9x + -7x = 2x
-35 + 2x = 8x + -9

Reorder the terms:
-35 + 2x = -9 + 8x

Solving
-35 + 2x = -9 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-35 + 2x + -8x = -9 + 8x + -8x

Combine like terms: 2x + -8x = -6x
-35 + -6x = -9 + 8x + -8x

Combine like terms: 8x + -8x = 0
-35 + -6x = -9 + 0
-35 + -6x = -9

Add '35' to each side of the equation.
-35 + 35 + -6x = -9 + 35

Combine like terms: -35 + 35 = 0
0 + -6x = -9 + 35
-6x = -9 + 35

Combine like terms: -9 + 35 = 26
-6x = 26

Divide each side by '-6'.
x = -4.333333333

Simplifying
x = -4.333333333

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