Solve 4x+3/3+1/3=3x+1/2

$$\frac { 4 x + 3 } { 3 } + \frac { 1 } { 3 } = \frac { 3 x + 1 } { 2 }$$

Solve for x

$$x=5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 3,2.

$$2\left(4x+3\right)+2=3\left(3x+1\right)$$

Use the distributive property to multiply 2 by 4x+3.

$$8x+6+2=3\left(3x+1\right)$$

Add 6 and 2 to get 8.

$$8x+8=3\left(3x+1\right)$$

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

$$8x+8=9x+3$$

Subtract 9x from both sides.

$$8x+8-9x=3$$

Combine 8x and -9x to get -x.

$$-x+8=3$$

Subtract 8 from both sides.

$$-x=3-8$$

Subtract 8 from 3 to get -5.

$$-x=-5$$

Multiply both sides by -1.

$$x=5$$