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

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


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

Reorder the terms:
5(3 + x) + -3(2 + x) = 13
(3 * 5 + x * 5) + -3(2 + x) = 13
(15 + 5x) + -3(2 + x) = 13
15 + 5x + (2 * -3 + x * -3) = 13
15 + 5x + (-6 + -3x) = 13

Reorder the terms:
15 + -6 + 5x + -3x = 13

Combine like terms: 15 + -6 = 9
9 + 5x + -3x = 13

Combine like terms: 5x + -3x = 2x
9 + 2x = 13

Solving
9 + 2x = 13

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + 2x = 13 + -9

Combine like terms: 9 + -9 = 0
0 + 2x = 13 + -9
2x = 13 + -9

Combine like terms: 13 + -9 = 4
2x = 4

Divide each side by '2'.
x = 2

Simplifying
x = 2

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