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

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


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

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

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

Reorder the terms:
10 + 10x = 4 + -2 + 2x

Combine like terms: 4 + -2 = 2
10 + 10x = 2 + 2x

Solving
10 + 10x = 2 + 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 = 2 + 2x + -2x

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

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

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

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

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

Divide each side by '8'.
x = -1

Simplifying
x = -1

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