Solve x+2/3-2x-4/5=1/3

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

Solve for x

$$x=17$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 15, the least common multiple of 3,5.

$$5\left(x+2\right)-3\left(2x-4\right)=5$$

Use the distributive property to multiply 5 by x+2.

$$5x+10-3\left(2x-4\right)=5$$

Use the distributive property to multiply -3 by 2x-4.

$$5x+10-6x+12=5$$

Combine 5x and -6x to get -x.

$$-x+10+12=5$$

Add 10 and 12 to get 22.

$$-x+22=5$$

Subtract 22 from both sides.

$$-x=5-22$$

Subtract 22 from 5 to get -17.

$$-x=-17$$

Multiply both sides by -1.

$$x=17$$