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

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


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

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

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

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

Solving
-20 + 5x = 5 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-20 + 5x + -1x = 5 + x + -1x

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

Combine like terms: x + -1x = 0
-20 + 4x = 5 + 0
-20 + 4x = 5

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

Combine like terms: -20 + 20 = 0
0 + 4x = 5 + 20
4x = 5 + 20

Combine like terms: 5 + 20 = 25
4x = 25

Divide each side by '4'.
x = 6.25

Simplifying
x = 6.25

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