2(x+1)+5(x-1)=7

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Solution for 2(x+1)+5(x-1)=7 equation: 


Simplifying
2(x + 1) + 5(x + -1) = 7

Reorder the terms:
2(1 + x) + 5(x + -1) = 7
(1 * 2 + x * 2) + 5(x + -1) = 7
(2 + 2x) + 5(x + -1) = 7

Reorder the terms:
2 + 2x + 5(-1 + x) = 7
2 + 2x + (-1 * 5 + x * 5) = 7
2 + 2x + (-5 + 5x) = 7

Reorder the terms:
2 + -5 + 2x + 5x = 7

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

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

Solving
-3 + 7x = 7

Solving for variable 'x'.

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

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

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

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

Divide each side by '7'.
x = 1.428571429

Simplifying
x = 1.428571429

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