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

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

Solve for x

$$x=9$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 20, the least common multiple of 4,5.

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

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

$$5x+15=4\left(2x-3\right)$$

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

$$5x+15=8x-12$$

Subtract 8x from both sides.

$$5x+15-8x=-12$$

Combine 5x and -8x to get -3x.

$$-3x+15=-12$$

Subtract 15 from both sides.

$$-3x=-12-15$$

Subtract 15 from -12 to get -27.

$$-3x=-27$$

Divide both sides by -3.

$$x=\frac{-27}{-3}$$

Divide -27 by -3 to get 9.

$$x=9$$