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

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


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

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

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

Remove parenthesis around (-1 + x)
2 + 2x + -1 + x = 7

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

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

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

Solving
1 + 3x = 7

Solving for variable 'x'.

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

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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