Solve for x
x = \frac{12}{7} = 1\frac{5}{7} \approx 1.714285714
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x\times 5+\left(x-4\right)\times 3=x
Variable x cannot be equal to any of the values 0,4 since division by zero is not defined. Multiply both sides of the equation by x\left(x-4\right), the least common multiple of x-4,x.
x\times 5+3x-12=x
Use the distributive property to multiply x-4 by 3.
8x-12=x
Combine x\times 5 and 3x to get 8x.
8x-12-x=0
Subtract x from both sides.
7x-12=0
Combine 8x and -x to get 7x.
7x=12
Add 12 to both sides. Anything plus zero gives itself.
x=\frac{12}{7}
Divide both sides by 7.
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