Solve for x
x=3
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5\times 4x=6\left(x+7\right)
Variable x cannot be equal to -7 since division by zero is not defined. Multiply both sides of the equation by 5\left(x+7\right), the least common multiple of x+7,5.
20x=6\left(x+7\right)
Multiply 5 and 4 to get 20.
20x=6x+42
Use the distributive property to multiply 6 by x+7.
20x-6x=42
Subtract 6x from both sides.
14x=42
Combine 20x and -6x to get 14x.
x=\frac{42}{14}
Divide both sides by 14.
x=3
Divide 42 by 14 to get 3.
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