Solve 2x-7/4=x+3/3

$$\frac{ 2x-7 }{ 4 } = \frac{ x+3 }{ 3 }$$

Solve for x

$$x = \frac{33}{2} = 16\frac{1}{2} = 16.5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 4,3.

$$3\left(2x-7\right)=4\left(x+3\right)$$

Use the distributive property to multiply 3 by 2x-7.

$$6x-21=4\left(x+3\right)$$

Use the distributive property to multiply 4 by x+3.

$$6x-21=4x+12$$

Subtract 4x from both sides.

$$6x-21-4x=12$$

Combine 6x and -4x to get 2x.

$$2x-21=12$$

Add 21 to both sides.

$$2x=12+21$$

Add 12 and 21 to get 33.

$$2x=33$$

Divide both sides by 2.

$$x=\frac{33}{2}$$