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

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


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

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

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

Solving
-20 + 5x = 20 + 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.
-20 + 5x + -4x = 20 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-20 + 1x = 20 + 4x + -4x

Combine like terms: 4x + -4x = 0
-20 + 1x = 20 + 0
-20 + 1x = 20

Add '20' to each side of the equation.
-20 + 20 + 1x = 20 + 20

Combine like terms: -20 + 20 = 0
0 + 1x = 20 + 20
1x = 20 + 20

Combine like terms: 20 + 20 = 40
1x = 40

Divide each side by '1'.
x = 40

Simplifying
x = 40

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