13(20-5x)=15(30-5x)

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Solution for 13(20-5x)=15(30-5x) equation:


Simplifying
13(20 + -5x) = 15(30 + -5x)
(20 * 13 + -5x * 13) = 15(30 + -5x)
(260 + -65x) = 15(30 + -5x)
260 + -65x = (30 * 15 + -5x * 15)
260 + -65x = (450 + -75x)

Solving
260 + -65x = 450 + -75x

Solving for variable 'x'.

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

Add '75x' to each side of the equation.
260 + -65x + 75x = 450 + -75x + 75x

Combine like terms: -65x + 75x = 10x
260 + 10x = 450 + -75x + 75x

Combine like terms: -75x + 75x = 0
260 + 10x = 450 + 0
260 + 10x = 450

Add '-260' to each side of the equation.
260 + -260 + 10x = 450 + -260

Combine like terms: 260 + -260 = 0
0 + 10x = 450 + -260
10x = 450 + -260

Combine like terms: 450 + -260 = 190
10x = 190

Divide each side by '10'.
x = 19

Simplifying
x = 19

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