Solve for x
x=2
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Linear Equation
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\frac { 5 } { x } + \frac { 7 } { 4 x } = \frac { 27 } { 8 }
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8\times 5+2\times 7=27x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 8x, the least common multiple of x,4x,8.
40+14=27x
Do the multiplications.
54=27x
Add 40 and 14 to get 54.
27x=54
Swap sides so that all variable terms are on the left hand side.
x=\frac{54}{27}
Divide both sides by 27.
x=2
Divide 54 by 27 to get 2.
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