10x+2-2y=8(x+1)-7

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Solution for 10x+2-2y=8(x+1)-7 equation: 


Simplifying
10x + 2 + -2y = 8(x + 1) + -7

Reorder the terms:
2 + 10x + -2y = 8(x + 1) + -7

Reorder the terms:
2 + 10x + -2y = 8(1 + x) + -7
2 + 10x + -2y = (1 * 8 + x * 8) + -7
2 + 10x + -2y = (8 + 8x) + -7

Reorder the terms:
2 + 10x + -2y = 8 + -7 + 8x

Combine like terms: 8 + -7 = 1
2 + 10x + -2y = 1 + 8x

Solving
2 + 10x + -2y = 1 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
2 + 10x + -8x + -2y = 1 + 8x + -8x

Combine like terms: 10x + -8x = 2x
2 + 2x + -2y = 1 + 8x + -8x

Combine like terms: 8x + -8x = 0
2 + 2x + -2y = 1 + 0
2 + 2x + -2y = 1

Add '-2' to each side of the equation.
2 + 2x + -2 + -2y = 1 + -2

Reorder the terms:
2 + -2 + 2x + -2y = 1 + -2

Combine like terms: 2 + -2 = 0
0 + 2x + -2y = 1 + -2
2x + -2y = 1 + -2

Combine like terms: 1 + -2 = -1
2x + -2y = -1

Add '2y' to each side of the equation.
2x + -2y + 2y = -1 + 2y

Combine like terms: -2y + 2y = 0
2x + 0 = -1 + 2y
2x = -1 + 2y

Divide each side by '2'.
x = -0.5 + y

Simplifying
x = -0.5 + y

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