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

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


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

Reorder the terms:
10(3 + x) = 5(x + 13)
(3 * 10 + x * 10) = 5(x + 13)
(30 + 10x) = 5(x + 13)

Reorder the terms:
30 + 10x = 5(13 + x)
30 + 10x = (13 * 5 + x * 5)
30 + 10x = (65 + 5x)

Solving
30 + 10x = 65 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
30 + 10x + -5x = 65 + 5x + -5x

Combine like terms: 10x + -5x = 5x
30 + 5x = 65 + 5x + -5x

Combine like terms: 5x + -5x = 0
30 + 5x = 65 + 0
30 + 5x = 65

Add '-30' to each side of the equation.
30 + -30 + 5x = 65 + -30

Combine like terms: 30 + -30 = 0
0 + 5x = 65 + -30
5x = 65 + -30

Combine like terms: 65 + -30 = 35
5x = 35

Divide each side by '5'.
x = 7

Simplifying
x = 7

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