Solve for x
x=-31
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3\left(x-4\right)=5\left(x+10\right)
Variable x cannot be equal to -10 since division by zero is not defined. Multiply both sides of the equation by 3\left(x+10\right), the least common multiple of x+10,3.
3x-12=5\left(x+10\right)
Use the distributive property to multiply 3 by x-4.
3x-12=5x+50
Use the distributive property to multiply 5 by x+10.
3x-12-5x=50
Subtract 5x from both sides.
-2x-12=50
Combine 3x and -5x to get -2x.
-2x=50+12
Add 12 to both sides.
-2x=62
Add 50 and 12 to get 62.
x=\frac{62}{-2}
Divide both sides by -2.
x=-31
Divide 62 by -2 to get -31.
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