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

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


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

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

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

Combine like terms: -2 + 1 = -1
-1 + 2x = 1 + -2(x + -3)

Reorder the terms:
-1 + 2x = 1 + -2(-3 + x)
-1 + 2x = 1 + (-3 * -2 + x * -2)
-1 + 2x = 1 + (6 + -2x)

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

Solving
-1 + 2x = 7 + -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.
-1 + 2x + 2x = 7 + -2x + 2x

Combine like terms: 2x + 2x = 4x
-1 + 4x = 7 + -2x + 2x

Combine like terms: -2x + 2x = 0
-1 + 4x = 7 + 0
-1 + 4x = 7

Add '1' to each side of the equation.
-1 + 1 + 4x = 7 + 1

Combine like terms: -1 + 1 = 0
0 + 4x = 7 + 1
4x = 7 + 1

Combine like terms: 7 + 1 = 8
4x = 8

Divide each side by '4'.
x = 2

Simplifying
x = 2

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