Solve 6x-2/4+2x-1/3=10

$$\frac{ 6x-2 }{ 4 } + \frac{ 2x-1 }{ 3 } =10$$

Solve for x

$$x=5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 4,3.

$$3\left(6x-2\right)+4\left(2x-1\right)=120$$

Use the distributive property to multiply 3 by 6x-2.

$$18x-6+4\left(2x-1\right)=120$$

Use the distributive property to multiply 4 by 2x-1.

$$18x-6+8x-4=120$$

Combine 18x and 8x to get 26x.

$$26x-6-4=120$$

Subtract 4 from -6 to get -10.

$$26x-10=120$$

Add 10 to both sides.

$$26x=120+10$$

Add 120 and 10 to get 130.

$$26x=130$$

Divide both sides by 26.

$$x=\frac{130}{26}$$

Divide 130 by 26 to get 5.

$$x=5$$