2(x+7)-5(x-1)=13

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Solution for 2(x+7)-5(x-1)=13 equation: 


Simplifying
2(x + 7) + -5(x + -1) = 13

Reorder the terms:
2(7 + x) + -5(x + -1) = 13
(7 * 2 + x * 2) + -5(x + -1) = 13
(14 + 2x) + -5(x + -1) = 13

Reorder the terms:
14 + 2x + -5(-1 + x) = 13
14 + 2x + (-1 * -5 + x * -5) = 13
14 + 2x + (5 + -5x) = 13

Reorder the terms:
14 + 5 + 2x + -5x = 13

Combine like terms: 14 + 5 = 19
19 + 2x + -5x = 13

Combine like terms: 2x + -5x = -3x
19 + -3x = 13

Solving
19 + -3x = 13

Solving for variable 'x'.

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

Add '-19' to each side of the equation.
19 + -19 + -3x = 13 + -19

Combine like terms: 19 + -19 = 0
0 + -3x = 13 + -19
-3x = 13 + -19

Combine like terms: 13 + -19 = -6
-3x = -6

Divide each side by '-3'.
x = 2

Simplifying
x = 2

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