2(x+7)+3(x-1)=71

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Solution for 2(x+7)+3(x-1)=71 equation: 


Simplifying
2(x + 7) + 3(x + -1) = 71

Reorder the terms:
2(7 + x) + 3(x + -1) = 71
(7 * 2 + x * 2) + 3(x + -1) = 71
(14 + 2x) + 3(x + -1) = 71

Reorder the terms:
14 + 2x + 3(-1 + x) = 71
14 + 2x + (-1 * 3 + x * 3) = 71
14 + 2x + (-3 + 3x) = 71

Reorder the terms:
14 + -3 + 2x + 3x = 71

Combine like terms: 14 + -3 = 11
11 + 2x + 3x = 71

Combine like terms: 2x + 3x = 5x
11 + 5x = 71

Solving
11 + 5x = 71

Solving for variable 'x'.

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

Add '-11' to each side of the equation.
11 + -11 + 5x = 71 + -11

Combine like terms: 11 + -11 = 0
0 + 5x = 71 + -11
5x = 71 + -11

Combine like terms: 71 + -11 = 60
5x = 60

Divide each side by '5'.
x = 12

Simplifying
x = 12

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