5(2x-2)-5=5(x-4)+25

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Solution for 5(2x-2)-5=5(x-4)+25 equation:


Simplifying
5(2x + -2) + -5 = 5(x + -4) + 25

Reorder the terms:
5(-2 + 2x) + -5 = 5(x + -4) + 25
(-2 * 5 + 2x * 5) + -5 = 5(x + -4) + 25
(-10 + 10x) + -5 = 5(x + -4) + 25

Reorder the terms:
-10 + -5 + 10x = 5(x + -4) + 25

Combine like terms: -10 + -5 = -15
-15 + 10x = 5(x + -4) + 25

Reorder the terms:
-15 + 10x = 5(-4 + x) + 25
-15 + 10x = (-4 * 5 + x * 5) + 25
-15 + 10x = (-20 + 5x) + 25

Reorder the terms:
-15 + 10x = -20 + 25 + 5x

Combine like terms: -20 + 25 = 5
-15 + 10x = 5 + 5x

Solving
-15 + 10x = 5 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-15 + 10x + -5x = 5 + 5x + -5x

Combine like terms: 10x + -5x = 5x
-15 + 5x = 5 + 5x + -5x

Combine like terms: 5x + -5x = 0
-15 + 5x = 5 + 0
-15 + 5x = 5

Add '15' to each side of the equation.
-15 + 15 + 5x = 5 + 15

Combine like terms: -15 + 15 = 0
0 + 5x = 5 + 15
5x = 5 + 15

Combine like terms: 5 + 15 = 20
5x = 20

Divide each side by '5'.
x = 4

Simplifying
x = 4

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