5(x+2)-2(3x-1)=13

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Solution for 5(x+2)-2(3x-1)=13 equation: 


Simplifying
5(x + 2) + -2(3x + -1) = 13

Reorder the terms:
5(2 + x) + -2(3x + -1) = 13
(2 * 5 + x * 5) + -2(3x + -1) = 13
(10 + 5x) + -2(3x + -1) = 13

Reorder the terms:
10 + 5x + -2(-1 + 3x) = 13
10 + 5x + (-1 * -2 + 3x * -2) = 13
10 + 5x + (2 + -6x) = 13

Reorder the terms:
10 + 2 + 5x + -6x = 13

Combine like terms: 10 + 2 = 12
12 + 5x + -6x = 13

Combine like terms: 5x + -6x = -1x
12 + -1x = 13

Solving
12 + -1x = 13

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + -1x = 13 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 13 + -12
-1x = 13 + -12

Combine like terms: 13 + -12 = 1
-1x = 1

Divide each side by '-1'.
x = -1

Simplifying
x = -1

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