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

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

Solve for x

$$x=3$$

Steps for Solving Linear Equation

Variable x cannot be equal to -1 since division by zero is not defined. Multiply both sides of the equation by 3\left(x+1\right), the least common multiple of 3,x+1,3x+3.

$$3\left(x+1\right)\times \frac{4}{3}-3\times 4=4$$

Use the distributive property to multiply 3 by x+1.

$$\left(3x+3\right)\times \frac{4}{3}-3\times 4=4$$

Use the distributive property to multiply 3x+3 by \frac{4}{3}.

$$4x+4-3\times 4=4$$

Multiply -3 and 4 to get -12.

$$4x+4-12=4$$

Subtract 12 from 4 to get -8.

$$4x-8=4$$

Add 8 to both sides.

$$4x=4+8$$

Add 4 and 8 to get 12.

$$4x=12$$

Divide both sides by 4.

$$x=\frac{12}{4}$$

Divide 12 by 4 to get 3.

$$x=3$$