Solve 3x-5/4=x+1/3+3

$$\frac { 3 x - 5 } { 4 } = \frac { x + 1 } { 3 } + 3$$

Solve for x

$$x=11$$

Steps for Solving Linear Equation

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

$$3\left(3x-5\right)=4\left(x+1\right)+36$$

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

$$9x-15=4\left(x+1\right)+36$$

Use the distributive property to multiply 4 by x+1.

$$9x-15=4x+4+36$$

Add 4 and 36 to get 40.

$$9x-15=4x+40$$

Subtract 4x from both sides.

$$9x-15-4x=40$$

Combine 9x and -4x to get 5x.

$$5x-15=40$$

Add 15 to both sides.

$$5x=40+15$$

Add 40 and 15 to get 55.

$$5x=55$$

Divide both sides by 5.

$$x=\frac{55}{5}$$

Divide 55 by 5 to get 11.

$$x=11$$