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

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

Solve for x

$$x = -\frac{69}{28} = -2\frac{13}{28} \approx -2.464285714$$

Steps for Solving Linear Equation

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

$$36-42\left(2+x\right)=7\left(x+4\right)-7\left(3x+1\right)$$

Use the distributive property to multiply -42 by 2+x.

$$36-84-42x=7\left(x+4\right)-7\left(3x+1\right)$$

Subtract 84 from 36 to get -48.

$$-48-42x=7\left(x+4\right)-7\left(3x+1\right)$$

Use the distributive property to multiply 7 by x+4.

$$-48-42x=7x+28-7\left(3x+1\right)$$

Use the distributive property to multiply -7 by 3x+1.

$$-48-42x=7x+28-21x-7$$

Combine 7x and -21x to get -14x.

$$-48-42x=-14x+28-7$$

Subtract 7 from 28 to get 21.

$$-48-42x=-14x+21$$

Add 14x to both sides.

$$-48-42x+14x=21$$

Combine -42x and 14x to get -28x.

$$-48-28x=21$$

Add 48 to both sides.

$$-28x=21+48$$

Add 21 and 48 to get 69.

$$-28x=69$$

Divide both sides by -28.

$$x=\frac{69}{-28}$$

Fraction \frac{69}{-28} can be rewritten as -\frac{69}{28} by extracting the negative sign.

$$x=-\frac{69}{28}$$