Solve for x
x = \frac{35}{8} = 4\frac{3}{8} = 4.375
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-3x=5\left(x-7\right)
Variable x cannot be equal to 7 since division by zero is not defined. Multiply both sides of the equation by 3\left(x-7\right), the least common multiple of 7-x,3.
-3x=5x-35
Use the distributive property to multiply 5 by x-7.
-3x-5x=-35
Subtract 5x from both sides.
-8x=-35
Combine -3x and -5x to get -8x.
x=\frac{-35}{-8}
Divide both sides by -8.
x=\frac{35}{8}
Fraction \frac{-35}{-8} can be simplified to \frac{35}{8} by removing the negative sign from both the numerator and the denominator.
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Limits
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