Solve 7/6+x/7-5/14-3/7=frac{2x}{21}+3x-4-frac{5}{6}

$$\frac{ 7 }{ 6 } + \frac{ x }{ 7 } - \frac{ 5 }{ 14 } - \frac{ 3 }{ 7 } = \frac{ 2x }{ 21 } +3x-4- \frac{ 5 }{ 6 }$$

Solve for x

$$x = \frac{219}{124} = 1\frac{95}{124} \approx 1.766129032$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 42, the least common multiple of 6,7,14,21.

$$49+6x-15-18=2\times 2x+126x-168-35$$

Subtract 15 from 49 to get 34.

$$34+6x-18=2\times 2x+126x-168-35$$

Subtract 18 from 34 to get 16.

$$16+6x=2\times 2x+126x-168-35$$

Multiply 2 and 2 to get 4.

$$16+6x=4x+126x-168-35$$

Combine 4x and 126x to get 130x.

$$16+6x=130x-168-35$$

Subtract 35 from -168 to get -203.

$$16+6x=130x-203$$

Subtract 130x from both sides.

$$16+6x-130x=-203$$

Combine 6x and -130x to get -124x.

$$16-124x=-203$$

Subtract 16 from both sides.

$$-124x=-203-16$$

Subtract 16 from -203 to get -219.

$$-124x=-219$$

Divide both sides by -124.

$$x=\frac{-219}{-124}$$

Fraction \frac{-219}{-124} can be simplified to \frac{219}{124} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{219}{124}$$