Solve 3x-1/2-2left(4+3xright)/13=2

$$\frac{ 3x-1 }{ 2 } - \frac{ 2 \left( 4+3x \right) }{ 13 } = 2$$

Solve for x

$$x=3$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 26, the least common multiple of 2,13.

$$13\left(3x-1\right)-2\times 2\left(4+3x\right)=52$$

Use the distributive property to multiply 13 by 3x-1.

$$39x-13-2\times 2\left(4+3x\right)=52$$

Multiply -2 and 2 to get -4.

$$39x-13-4\left(4+3x\right)=52$$

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

$$39x-13-16-12x=52$$

Subtract 16 from -13 to get -29.

$$39x-29-12x=52$$

Combine 39x and -12x to get 27x.

$$27x-29=52$$

Add 29 to both sides.

$$27x=52+29$$

Add 52 and 29 to get 81.

$$27x=81$$

Divide both sides by 27.

$$x=\frac{81}{27}$$

Divide 81 by 27 to get 3.

$$x=3$$