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

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

Solve for x

$$x=-15$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 2,3.

$$3\left(3x-5\right)=6-2\left(3-5x\right)$$

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

$$9x-15=6-2\left(3-5x\right)$$

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

$$9x-15=6-6+10x$$

Subtract 6 from 6 to get 0.

$$9x-15=10x$$

Subtract 10x from both sides.

$$9x-15-10x=0$$

Combine 9x and -10x to get -x.

$$-x-15=0$$

Add 15 to both sides. Anything plus zero gives itself.

$$-x=15$$

Multiply both sides by -1.

$$x=-15$$