10(x+4)=5(x+13)

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Solution for 10(x+4)=5(x+13) equation:


Simplifying
10(x + 4) = 5(x + 13)

Reorder the terms:
10(4 + x) = 5(x + 13)
(4 * 10 + x * 10) = 5(x + 13)
(40 + 10x) = 5(x + 13)

Reorder the terms:
40 + 10x = 5(13 + x)
40 + 10x = (13 * 5 + x * 5)
40 + 10x = (65 + 5x)

Solving
40 + 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.
40 + 10x + -5x = 65 + 5x + -5x

Combine like terms: 10x + -5x = 5x
40 + 5x = 65 + 5x + -5x

Combine like terms: 5x + -5x = 0
40 + 5x = 65 + 0
40 + 5x = 65

Add '-40' to each side of the equation.
40 + -40 + 5x = 65 + -40

Combine like terms: 40 + -40 = 0
0 + 5x = 65 + -40
5x = 65 + -40

Combine like terms: 65 + -40 = 25
5x = 25

Divide each side by '5'.
x = 5

Simplifying
x = 5

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