Solve for x
x=50
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Linear Equation
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\frac { 1500 } { x } \times 1.5 = \frac { 2700 } { x + 10 }
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\left(x+10\right)\times 1500\times 1.5=x\times 2700
Variable x cannot be equal to any of the values -10,0 since division by zero is not defined. Multiply both sides of the equation by x\left(x+10\right), the least common multiple of x,x+10.
\left(x+10\right)\times 2250=x\times 2700
Multiply 1500 and 1.5 to get 2250.
2250x+22500=x\times 2700
Use the distributive property to multiply x+10 by 2250.
2250x+22500-x\times 2700=0
Subtract x\times 2700 from both sides.
-450x+22500=0
Combine 2250x and -x\times 2700 to get -450x.
-450x=-22500
Subtract 22500 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-22500}{-450}
Divide both sides by -450.
x=50
Divide -22500 by -450 to get 50.
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