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

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


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

Reorder the terms:
5(-5 + x) = 4(x + 5)
(-5 * 5 + x * 5) = 4(x + 5)
(-25 + 5x) = 4(x + 5)

Reorder the terms:
-25 + 5x = 4(5 + x)
-25 + 5x = (5 * 4 + x * 4)
-25 + 5x = (20 + 4x)

Solving
-25 + 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.
-25 + 5x + -4x = 20 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-25 + 1x = 20 + 4x + -4x

Combine like terms: 4x + -4x = 0
-25 + 1x = 20 + 0
-25 + 1x = 20

Add '25' to each side of the equation.
-25 + 25 + 1x = 20 + 25

Combine like terms: -25 + 25 = 0
0 + 1x = 20 + 25
1x = 20 + 25

Combine like terms: 20 + 25 = 45
1x = 45

Divide each side by '1'.
x = 45

Simplifying
x = 45

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