10x+13=3(3x+5)

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Solution for 10x+13=3(3x+5) equation:


Simplifying
10x + 13 = 3(3x + 5)

Reorder the terms:
13 + 10x = 3(3x + 5)

Reorder the terms:
13 + 10x = 3(5 + 3x)
13 + 10x = (5 * 3 + 3x * 3)
13 + 10x = (15 + 9x)

Solving
13 + 10x = 15 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
13 + 10x + -9x = 15 + 9x + -9x

Combine like terms: 10x + -9x = 1x
13 + 1x = 15 + 9x + -9x

Combine like terms: 9x + -9x = 0
13 + 1x = 15 + 0
13 + 1x = 15

Add '-13' to each side of the equation.
13 + -13 + 1x = 15 + -13

Combine like terms: 13 + -13 = 0
0 + 1x = 15 + -13
1x = 15 + -13

Combine like terms: 15 + -13 = 2
1x = 2

Divide each side by '1'.
x = 2

Simplifying
x = 2

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