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

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

Solve for x

$$x=1$$

Steps for Solving Linear Equation

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

$$3\left(2x+3\right)-45=5\left(x-7\right)$$

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

$$6x+9-45=5\left(x-7\right)$$

Subtract 45 from 9 to get -36.

$$6x-36=5\left(x-7\right)$$

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

$$6x-36=5x-35$$

Subtract 5x from both sides.

$$6x-36-5x=-35$$

Combine 6x and -5x to get x.

$$x-36=-35$$

Add 36 to both sides.

$$x=-35+36$$

Add -35 and 36 to get 1.

$$x=1$$