Solve for x
x=-\frac{42}{107}\approx -0.392523364
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25x\times 5=\left(3x-7\right)\times 6
Variable x cannot be equal to any of the values 0,\frac{7}{3} since division by zero is not defined. Multiply both sides of the equation by 25x\left(3x-7\right), the least common multiple of 3x-7,25x.
125x=\left(3x-7\right)\times 6
Multiply 25 and 5 to get 125.
125x=18x-42
Use the distributive property to multiply 3x-7 by 6.
125x-18x=-42
Subtract 18x from both sides.
107x=-42
Combine 125x and -18x to get 107x.
x=\frac{-42}{107}
Divide both sides by 107.
x=-\frac{42}{107}
Fraction \frac{-42}{107} can be rewritten as -\frac{42}{107} by extracting the negative sign.
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