Solve 5-x/6-3x+1/4=7-3x

$$\frac { 5 - x } { 6 } - \frac { 3 x + 1 } { 4 } = 7 - 3 x$$

Solve for x

$$x = \frac{77}{25} = 3\frac{2}{25} = 3.08$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 6,4.

$$2\left(5-x\right)-3\left(3x+1\right)=84-36x$$

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

$$10-2x-3\left(3x+1\right)=84-36x$$

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

$$10-2x-9x-3=84-36x$$

Combine -2x and -9x to get -11x.

$$10-11x-3=84-36x$$

Subtract 3 from 10 to get 7.

$$7-11x=84-36x$$

Add 36x to both sides.

$$7-11x+36x=84$$

Combine -11x and 36x to get 25x.

$$7+25x=84$$

Subtract 7 from both sides.

$$25x=84-7$$

Subtract 7 from 84 to get 77.

$$25x=77$$

Divide both sides by 25.

$$x=\frac{77}{25}$$