10(x+5)=5(x+19)

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Solution for 10(x+5)=5(x+19) equation:


Simplifying
10(x + 5) = 5(x + 19)

Reorder the terms:
10(5 + x) = 5(x + 19)
(5 * 10 + x * 10) = 5(x + 19)
(50 + 10x) = 5(x + 19)

Reorder the terms:
50 + 10x = 5(19 + x)
50 + 10x = (19 * 5 + x * 5)
50 + 10x = (95 + 5x)

Solving
50 + 10x = 95 + 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.
50 + 10x + -5x = 95 + 5x + -5x

Combine like terms: 10x + -5x = 5x
50 + 5x = 95 + 5x + -5x

Combine like terms: 5x + -5x = 0
50 + 5x = 95 + 0
50 + 5x = 95

Add '-50' to each side of the equation.
50 + -50 + 5x = 95 + -50

Combine like terms: 50 + -50 = 0
0 + 5x = 95 + -50
5x = 95 + -50

Combine like terms: 95 + -50 = 45
5x = 45

Divide each side by '5'.
x = 9

Simplifying
x = 9

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