5(2x+2)=4(5x-5)

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Solution for 5(2x+2)=4(5x-5) equation:


Simplifying
5(2x + 2) = 4(5x + -5)

Reorder the terms:
5(2 + 2x) = 4(5x + -5)
(2 * 5 + 2x * 5) = 4(5x + -5)
(10 + 10x) = 4(5x + -5)

Reorder the terms:
10 + 10x = 4(-5 + 5x)
10 + 10x = (-5 * 4 + 5x * 4)
10 + 10x = (-20 + 20x)

Solving
10 + 10x = -20 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
10 + 10x + -20x = -20 + 20x + -20x

Combine like terms: 10x + -20x = -10x
10 + -10x = -20 + 20x + -20x

Combine like terms: 20x + -20x = 0
10 + -10x = -20 + 0
10 + -10x = -20

Add '-10' to each side of the equation.
10 + -10 + -10x = -20 + -10

Combine like terms: 10 + -10 = 0
0 + -10x = -20 + -10
-10x = -20 + -10

Combine like terms: -20 + -10 = -30
-10x = -30

Divide each side by '-10'.
x = 3

Simplifying
x = 3

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