Solve for x
x=12
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-4\left(75-x\right)=7\left(x-48\right)
Variable x cannot be equal to 48 since division by zero is not defined. Multiply both sides of the equation by 4\left(x-48\right), the least common multiple of 48-x,4.
-300+4x=7\left(x-48\right)
Use the distributive property to multiply -4 by 75-x.
-300+4x=7x-336
Use the distributive property to multiply 7 by x-48.
-300+4x-7x=-336
Subtract 7x from both sides.
-300-3x=-336
Combine 4x and -7x to get -3x.
-3x=-336+300
Add 300 to both sides.
-3x=-36
Add -336 and 300 to get -36.
x=\frac{-36}{-3}
Divide both sides by -3.
x=12
Divide -36 by -3 to get 12.
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