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x\times 340=\left(x+10\right)\times 290
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+10,x.
x\times 340=290x+2900
Use the distributive property to multiply x+10 by 290.
x\times 340-290x=2900
Subtract 290x from both sides.
50x=2900
Combine x\times 340 and -290x to get 50x.
x=\frac{2900}{50}
Divide both sides by 50.
x=58
Divide 2900 by 50 to get 58.