Solve 5x-1/2=4x/3+3

$$\frac { 5 x - 1 } { 2 } = \frac { 4 x } { 3 } + 3$$

Solve for x

$$x=3$$

Steps for Solving Linear Equation

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

$$3\left(5x-1\right)=2\times 4x+18$$

Use the distributive property to multiply 3 by 5x-1.

$$15x-3=2\times 4x+18$$

Multiply 2 and 4 to get 8.

$$15x-3=8x+18$$

Subtract 8x from both sides.

$$15x-3-8x=18$$

Combine 15x and -8x to get 7x.

$$7x-3=18$$

Add 3 to both sides.

$$7x=18+3$$

Add 18 and 3 to get 21.

$$7x=21$$

Divide both sides by 7.

$$x=\frac{21}{7}$$

Divide 21 by 7 to get 3.

$$x=3$$