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

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


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

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

Reorder the terms:
-2 + -1 + 2x = 7 + -3x

Combine like terms: -2 + -1 = -3
-3 + 2x = 7 + -3x

Solving
-3 + 2x = 7 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-3 + 2x + 3x = 7 + -3x + 3x

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

Combine like terms: -3x + 3x = 0
-3 + 5x = 7 + 0
-3 + 5x = 7

Add '3' to each side of the equation.
-3 + 3 + 5x = 7 + 3

Combine like terms: -3 + 3 = 0
0 + 5x = 7 + 3
5x = 7 + 3

Combine like terms: 7 + 3 = 10
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2

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