5(2x-2)=2(x-1)+10

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Solution for 5(2x-2)=2(x-1)+10 equation:


Simplifying
5(2x + -2) = 2(x + -1) + 10

Reorder the terms:
5(-2 + 2x) = 2(x + -1) + 10
(-2 * 5 + 2x * 5) = 2(x + -1) + 10
(-10 + 10x) = 2(x + -1) + 10

Reorder the terms:
-10 + 10x = 2(-1 + x) + 10
-10 + 10x = (-1 * 2 + x * 2) + 10
-10 + 10x = (-2 + 2x) + 10

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

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

Solving
-10 + 10x = 8 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-10 + 10x + -2x = 8 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-10 + 8x = 8 + 0
-10 + 8x = 8

Add '10' to each side of the equation.
-10 + 10 + 8x = 8 + 10

Combine like terms: -10 + 10 = 0
0 + 8x = 8 + 10
8x = 8 + 10

Combine like terms: 8 + 10 = 18
8x = 18

Divide each side by '8'.
x = 2.25

Simplifying
x = 2.25

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