4(x+5)=9x-5

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


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

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

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

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

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

Combine like terms: 9x + -9x = 0
20 + -5x = -5 + 0
20 + -5x = -5

Add '-20' to each side of the equation.
20 + -20 + -5x = -5 + -20

Combine like terms: 20 + -20 = 0
0 + -5x = -5 + -20
-5x = -5 + -20

Combine like terms: -5 + -20 = -25
-5x = -25

Divide each side by '-5'.
x = 5

Simplifying
x = 5

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