Solve 10*2x/3+1/1=1x/15+3/1

$$10 \cdot \frac { 2 x } { 3 } + \frac { 1 } { 1 } = \frac { 1 x } { 15 } + \frac { 3 } { 1 }$$

Solve for x

$$x=\frac{10}{33}\approx 0.303030303$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 15, the least common multiple of 3,15.

$$50\times 2x+15=1x+15\times 3$$

Multiply 50 and 2 to get 100.

$$100x+15=1x+15\times 3$$

Multiply 15 and 3 to get 45.

$$100x+15=1x+45$$

Subtract 1x from both sides.

$$100x+15-x=45$$

Combine 100x and -x to get 99x.

$$99x+15=45$$

Subtract 15 from both sides.

$$99x=45-15$$

Subtract 15 from 45 to get 30.

$$99x=30$$

Divide both sides by 99.

$$x=\frac{30}{99}$$

Reduce the fraction \frac{30}{99} to lowest terms by extracting and canceling out 3.

$$x=\frac{10}{33}$$