Solve for x
x=8
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Linear Equation
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\frac { 6 } { 5 x } = \frac { 1 } { 15 } + \frac { 2 } { 3 x }
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3\times 6=15x\times \frac{1}{15}+5\times 2
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 15x, the least common multiple of 5x,15,3x.
18=15x\times \frac{1}{15}+5\times 2
Multiply 3 and 6 to get 18.
18=x+5\times 2
Multiply 15 and \frac{1}{15} to get 1.
18=x+10
Multiply 5 and 2 to get 10.
x+10=18
Swap sides so that all variable terms are on the left hand side.
x=18-10
Subtract 10 from both sides.
x=8
Subtract 10 from 18 to get 8.
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