5(x-4)=8-9x

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


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

Reorder the terms:
5(-4 + x) = 8 + -9x
(-4 * 5 + x * 5) = 8 + -9x
(-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 = 14x
-20 + 14x = 8 + -9x + 9x

Combine like terms: -9x + 9x = 0
-20 + 14x = 8 + 0
-20 + 14x = 8

Add '20' to each side of the equation.
-20 + 20 + 14x = 8 + 20

Combine like terms: -20 + 20 = 0
0 + 14x = 8 + 20
14x = 8 + 20

Combine like terms: 8 + 20 = 28
14x = 28

Divide each side by '14'.
x = 2

Simplifying
x = 2

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