5(x-3)+2x=13

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


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

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

Combine like terms: 5x + 2x = 7x
-15 + 7x = 13

Solving
-15 + 7x = 13

Solving for variable 'x'.

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

Add '15' to each side of the equation.
-15 + 15 + 7x = 13 + 15

Combine like terms: -15 + 15 = 0
0 + 7x = 13 + 15
7x = 13 + 15

Combine like terms: 13 + 15 = 28
7x = 28

Divide each side by '7'.
x = 4

Simplifying
x = 4

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