Solve for x
x=5
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5\left(10+x\right)=3\left(x+20\right)
Variable x cannot be equal to -20 since division by zero is not defined. Multiply both sides of the equation by 5\left(x+20\right), the least common multiple of 10+10+x,5.
50+5x=3\left(x+20\right)
Use the distributive property to multiply 5 by 10+x.
50+5x=3x+60
Use the distributive property to multiply 3 by x+20.
50+5x-3x=60
Subtract 3x from both sides.
50+2x=60
Combine 5x and -3x to get 2x.
2x=60-50
Subtract 50 from both sides.
2x=10
Subtract 50 from 60 to get 10.
x=\frac{10}{2}
Divide both sides by 2.
x=5
Divide 10 by 2 to get 5.
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