2(x+1)=7+x

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


Simplifying
2(x + 1) = 7 + x

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

Solving
2 + 2x = 7 + x

Solving for variable 'x'.

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

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

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

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

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

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

Combine like terms: 7 + -2 = 5
1x = 5

Divide each side by '1'.
x = 5

Simplifying
x = 5

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