Solve 6x+1/7-2x-7/3=4

$$\frac { 6 x + 1 } { 7 } - \frac { 2 x - 7 } { 3 } = 4$$

Solve for x

$$x=8$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 21, the least common multiple of 7,3.

$$3\left(6x+1\right)-7\left(2x-7\right)=84$$

Use the distributive property to multiply 3 by 6x+1.

$$18x+3-7\left(2x-7\right)=84$$

Use the distributive property to multiply -7 by 2x-7.

$$18x+3-14x+49=84$$

Combine 18x and -14x to get 4x.

$$4x+3+49=84$$

Add 3 and 49 to get 52.

$$4x+52=84$$

Subtract 52 from both sides.

$$4x=84-52$$

Subtract 52 from 84 to get 32.

$$4x=32$$

Divide both sides by 4.

$$x=\frac{32}{4}$$

Divide 32 by 4 to get 8.

$$x=8$$