Solve 2x-7/3=3-2x/5

$$\frac { 2 x - 7 } { 3 } = \frac { 3 - 2 x } { 5 }$$

Solve for x

$$x = \frac{11}{4} = 2\frac{3}{4} = 2.75$$

Steps for Solving Linear Equation

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

$$5\left(2x-7\right)=3\left(3-2x\right)$$

Use the distributive property to multiply 5 by 2x-7.

$$10x-35=3\left(3-2x\right)$$

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

$$10x-35=9-6x$$

Add 6x to both sides.

$$10x-35+6x=9$$

Combine 10x and 6x to get 16x.

$$16x-35=9$$

Add 35 to both sides.

$$16x=9+35$$

Add 9 and 35 to get 44.

$$16x=44$$

Divide both sides by 16.

$$x=\frac{44}{16}$$

Reduce the fraction \frac{44}{16} to lowest terms by extracting and canceling out 4.

$$x=\frac{11}{4}$$