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

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

Solve for x

$$x=7$$

Steps for Solving Linear Equation

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

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

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

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

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

$$3x+9=10x-25-15$$

Subtract 15 from -25 to get -40.

$$3x+9=10x-40$$

Subtract 10x from both sides.

$$3x+9-10x=-40$$

Combine 3x and -10x to get -7x.

$$-7x+9=-40$$

Subtract 9 from both sides.

$$-7x=-40-9$$

Subtract 9 from -40 to get -49.

$$-7x=-49$$

Divide both sides by -7.

$$x=\frac{-49}{-7}$$

Divide -49 by -7 to get 7.

$$x=7$$