Solve 5x-2/3-4-x/2=6

$$\frac { 5 x - 2 } { 3 } - \frac { 4 - x } { 2 } = 6$$

Solve for x

$$x=4$$

Steps for Solving Linear Equation

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

$$2\left(5x-2\right)-3\left(4-x\right)=36$$

Use the distributive property to multiply 2 by 5x-2.

$$10x-4-3\left(4-x\right)=36$$

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

$$10x-4-12+3x=36$$

Subtract 12 from -4 to get -16.

$$10x-16+3x=36$$

Combine 10x and 3x to get 13x.

$$13x-16=36$$

Add 16 to both sides.

$$13x=36+16$$

Add 36 and 16 to get 52.

$$13x=52$$

Divide both sides by 13.

$$x=\frac{52}{13}$$

Divide 52 by 13 to get 4.

$$x=4$$