5x+13=3(x+5)

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


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

Reorder the terms:
13 + 5x = 3(x + 5)

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

Solving
13 + 5x = 15 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
13 + 5x + -3x = 15 + 3x + -3x

Combine like terms: 5x + -3x = 2x
13 + 2x = 15 + 3x + -3x

Combine like terms: 3x + -3x = 0
13 + 2x = 15 + 0
13 + 2x = 15

Add '-13' to each side of the equation.
13 + -13 + 2x = 15 + -13

Combine like terms: 13 + -13 = 0
0 + 2x = 15 + -13
2x = 15 + -13

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

Divide each side by '2'.
x = 1

Simplifying
x = 1

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