5x-3(x-8)=9x+36

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Solution for 5x-3(x-8)=9x+36 equation:


Simplifying
5x + -3(x + -8) = 9x + 36

Reorder the terms:
5x + -3(-8 + x) = 9x + 36
5x + (-8 * -3 + x * -3) = 9x + 36
5x + (24 + -3x) = 9x + 36

Reorder the terms:
24 + 5x + -3x = 9x + 36

Combine like terms: 5x + -3x = 2x
24 + 2x = 9x + 36

Reorder the terms:
24 + 2x = 36 + 9x

Solving
24 + 2x = 36 + 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.
24 + 2x + -9x = 36 + 9x + -9x

Combine like terms: 2x + -9x = -7x
24 + -7x = 36 + 9x + -9x

Combine like terms: 9x + -9x = 0
24 + -7x = 36 + 0
24 + -7x = 36

Add '-24' to each side of the equation.
24 + -24 + -7x = 36 + -24

Combine like terms: 24 + -24 = 0
0 + -7x = 36 + -24
-7x = 36 + -24

Combine like terms: 36 + -24 = 12
-7x = 12

Divide each side by '-7'.
x = -1.714285714

Simplifying
x = -1.714285714

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