Solve x/2-1/2-x/3+2/3=frac{x}{4}-frac{3}{4}-frac{x}{5}+1

$$\frac { x } { 2 } - \frac { 1 } { 2 } - \frac { x } { 3 } + \frac { 2 } { 3 } = \frac { x } { 4 } - \frac { 3 } { 4 } - \frac { x } { 5 } + 1$$

Solve for x

$$x=\frac{5}{7}\approx 0.714285714$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 60, the least common multiple of 2,3,4,5.

$$30x-30-20x+40=15x-45-12x+60$$

Combine 30x and -20x to get 10x.

$$10x-30+40=15x-45-12x+60$$

Add -30 and 40 to get 10.

$$10x+10=15x-45-12x+60$$

Combine 15x and -12x to get 3x.

$$10x+10=3x-45+60$$

Add -45 and 60 to get 15.

$$10x+10=3x+15$$

Subtract 3x from both sides.

$$10x+10-3x=15$$

Combine 10x and -3x to get 7x.

$$7x+10=15$$

Subtract 10 from both sides.

$$7x=15-10$$

Subtract 10 from 15 to get 5.

$$7x=5$$

Divide both sides by 7.

$$x=\frac{5}{7}$$