4(2.5x-2)=(5x-5)+2

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Solution for 4(2.5x-2)=(5x-5)+2 equation:


Simplifying
4(2.5x + -2) = (5x + -5) + 2

Reorder the terms:
4(-2 + 2.5x) = (5x + -5) + 2
(-2 * 4 + 2.5x * 4) = (5x + -5) + 2
(-8 + 10x) = (5x + -5) + 2

Reorder the terms:
-8 + 10x = (-5 + 5x) + 2

Remove parenthesis around (-5 + 5x)
-8 + 10x = -5 + 5x + 2

Reorder the terms:
-8 + 10x = -5 + 2 + 5x

Combine like terms: -5 + 2 = -3
-8 + 10x = -3 + 5x

Solving
-8 + 10x = -3 + 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.
-8 + 10x + -5x = -3 + 5x + -5x

Combine like terms: 10x + -5x = 5x
-8 + 5x = -3 + 5x + -5x

Combine like terms: 5x + -5x = 0
-8 + 5x = -3 + 0
-8 + 5x = -3

Add '8' to each side of the equation.
-8 + 8 + 5x = -3 + 8

Combine like terms: -8 + 8 = 0
0 + 5x = -3 + 8
5x = -3 + 8

Combine like terms: -3 + 8 = 5
5x = 5

Divide each side by '5'.
x = 1

Simplifying
x = 1

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