Solve 4x-3/3=x+8/2

$$\frac { 4 x - 3 } { 3 } = \frac { x + 8 } { 2 }$$

Solve for x

$$x=6$$

Steps for Solving Linear Equation

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

$$2\left(4x-3\right)=3\left(x+8\right)$$

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

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

Use the distributive property to multiply 3 by x+8.

$$8x-6=3x+24$$

Subtract 3x from both sides.

$$8x-6-3x=24$$

Combine 8x and -3x to get 5x.

$$5x-6=24$$

Add 6 to both sides.

$$5x=24+6$$

Add 24 and 6 to get 30.

$$5x=30$$

Divide both sides by 5.

$$x=\frac{30}{5}$$

Divide 30 by 5 to get 6.

$$x=6$$