Solve for x
x = \frac{12}{7} = 1\frac{5}{7} \approx 1.714285714
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5\times 8=7\left(x+4\right)
Variable x cannot be equal to -4 since division by zero is not defined. Multiply both sides of the equation by 5\left(x+4\right), the least common multiple of x+4,5.
40=7\left(x+4\right)
Multiply 5 and 8 to get 40.
40=7x+28
Use the distributive property to multiply 7 by x+4.
7x+28=40
Swap sides so that all variable terms are on the left hand side.
7x=40-28
Subtract 28 from both sides.
7x=12
Subtract 28 from 40 to get 12.
x=\frac{12}{7}
Divide both sides by 7.
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