Solve x-4/3-x+4/5=1-3x/15-2

$$\frac { x - 4 } { 3 } - \frac { x + 4 } { 5 } = \frac { 1 - 3 x } { 15 } - 2$$

Solve for x

$$x=\frac{3}{5}=0.6$$

Steps for Solving Linear Equation

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

$$5\left(x-4\right)-3\left(x+4\right)=1-3x-30$$

Use the distributive property to multiply 5 by x-4.

$$5x-20-3\left(x+4\right)=1-3x-30$$

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

$$5x-20-3x-12=1-3x-30$$

Combine 5x and -3x to get 2x.

$$2x-20-12=1-3x-30$$

Subtract 12 from -20 to get -32.

$$2x-32=1-3x-30$$

Subtract 30 from 1 to get -29.

$$2x-32=-29-3x$$

Add 3x to both sides.

$$2x-32+3x=-29$$

Combine 2x and 3x to get 5x.

$$5x-32=-29$$

Add 32 to both sides.

$$5x=-29+32$$

Add -29 and 32 to get 3.

$$5x=3$$

Divide both sides by 5.

$$x=\frac{3}{5}$$