3x-5+x+2(x-1)=2+7x

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Solution for 3x-5+x+2(x-1)=2+7x equation: 


Simplifying
3x + -5 + x + 2(x + -1) = 2 + 7x

Reorder the terms:
3x + -5 + x + 2(-1 + x) = 2 + 7x
3x + -5 + x + (-1 * 2 + x * 2) = 2 + 7x
3x + -5 + x + (-2 + 2x) = 2 + 7x

Reorder the terms:
-5 + -2 + 3x + x + 2x = 2 + 7x

Combine like terms: -5 + -2 = -7
-7 + 3x + x + 2x = 2 + 7x

Combine like terms: 3x + x = 4x
-7 + 4x + 2x = 2 + 7x

Combine like terms: 4x + 2x = 6x
-7 + 6x = 2 + 7x

Solving
-7 + 6x = 2 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-7 + 6x + -7x = 2 + 7x + -7x

Combine like terms: 6x + -7x = -1x
-7 + -1x = 2 + 7x + -7x

Combine like terms: 7x + -7x = 0
-7 + -1x = 2 + 0
-7 + -1x = 2

Add '7' to each side of the equation.
-7 + 7 + -1x = 2 + 7

Combine like terms: -7 + 7 = 0
0 + -1x = 2 + 7
-1x = 2 + 7

Combine like terms: 2 + 7 = 9
-1x = 9

Divide each side by '-1'.
x = -9

Simplifying
x = -9

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