5(x-4)=9x+8

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Solution for 5(x-4)=9x+8 equation:


Simplifying
5(x + -4) = 9x + 8

Reorder the terms:
5(-4 + x) = 9x + 8
(-4 * 5 + x * 5) = 9x + 8
(-20 + 5x) = 9x + 8

Reorder the terms:
-20 + 5x = 8 + 9x

Solving
-20 + 5x = 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.
-20 + 5x + -9x = 8 + 9x + -9x

Combine like terms: 5x + -9x = -4x
-20 + -4x = 8 + 9x + -9x

Combine like terms: 9x + -9x = 0
-20 + -4x = 8 + 0
-20 + -4x = 8

Add '20' to each side of the equation.
-20 + 20 + -4x = 8 + 20

Combine like terms: -20 + 20 = 0
0 + -4x = 8 + 20
-4x = 8 + 20

Combine like terms: 8 + 20 = 28
-4x = 28

Divide each side by '-4'.
x = -7

Simplifying
x = -7

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