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3\times 4x+2\times 25x+3\times 13x+2\times 25=3\times 20x
Multiply both sides of the equation by 30, the least common multiple of 10,15.
12x+2\times 25x+3\times 13x+2\times 25=3\times 20x
Multiply 3 and 4 to get 12.
12x+50x+3\times 13x+2\times 25=3\times 20x
Multiply 2 and 25 to get 50.
62x+3\times 13x+2\times 25=3\times 20x
Combine 12x and 50x to get 62x.
62x+39x+2\times 25=3\times 20x
Multiply 3 and 13 to get 39.
101x+2\times 25=3\times 20x
Combine 62x and 39x to get 101x.
101x+50=3\times 20x
Multiply 2 and 25 to get 50.
101x+50=60x
Multiply 3 and 20 to get 60.
101x+50-60x=0
Subtract 60x from both sides.
41x+50=0
Combine 101x and -60x to get 41x.
41x=-50
Subtract 50 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-50}{41}
Divide both sides by 41.
x=-\frac{50}{41}
Fraction \frac{-50}{41} can be rewritten as -\frac{50}{41} by extracting the negative sign.