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

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


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

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

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

Remove parenthesis around (-4 + 9x)
20 + 5x = -4 + 9x

Solving
20 + 5x = -4 + 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 = -4 + 9x + -9x

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

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

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

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

Combine like terms: -4 + -20 = -24
-4x = -24

Divide each side by '-4'.
x = 6

Simplifying
x = 6

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