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

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


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

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

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

Solving
1 + 2x = 7 + -1x

Solving for variable 'x'.

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

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

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

Combine like terms: -1x + x = 0
1 + 3x = 7 + 0
1 + 3x = 7

Add '-1' to each side of the equation.
1 + -1 + 3x = 7 + -1

Combine like terms: 1 + -1 = 0
0 + 3x = 7 + -1
3x = 7 + -1

Combine like terms: 7 + -1 = 6
3x = 6

Divide each side by '3'.
x = 2

Simplifying
x = 2

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