Solve 5*x+1/5+2x-3/6=1quad10

$$5 \cdot \frac { x + 1 } { 5 } + \frac { 2 x - 3 } { 6 } = 1 \quad 10$$

Solve for x

$$x = \frac{57}{8} = 7\frac{1}{8} = 7.125$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 30, the least common multiple of 5,6.

$$30\left(x+1\right)+5\left(2x-3\right)=30\times 10$$

Use the distributive property to multiply 30 by x+1.

$$30x+30+5\left(2x-3\right)=30\times 10$$

Use the distributive property to multiply 5 by 2x-3.

$$30x+30+10x-15=30\times 10$$

Combine 30x and 10x to get 40x.

$$40x+30-15=30\times 10$$

Subtract 15 from 30 to get 15.

$$40x+15=30\times 10$$

Multiply 30 and 10 to get 300.

$$40x+15=300$$

Subtract 15 from both sides.

$$40x=300-15$$

Subtract 15 from 300 to get 285.

$$40x=285$$

Divide both sides by 40.

$$x=\frac{285}{40}$$

Reduce the fraction \frac{285}{40} to lowest terms by extracting and canceling out 5.

$$x=\frac{57}{8}$$