Solve x-1/4-x+2/2=1+x+1/8

$$\frac { x - 1 } { 4 } - \frac { x + 2 } { 2 } = 1 + \frac { x + 1 } { 8 }$$

Solve for x

$$x = -\frac{19}{3} = -6\frac{1}{3} \approx -6.333333333$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 8, the least common multiple of 4,2,8.

$$2\left(x-1\right)-4\left(x+2\right)=8+x+1$$

Use the distributive property to multiply 2 by x-1.

$$2x-2-4\left(x+2\right)=8+x+1$$

Use the distributive property to multiply -4 by x+2.

$$2x-2-4x-8=8+x+1$$

Combine 2x and -4x to get -2x.

$$-2x-2-8=8+x+1$$

Subtract 8 from -2 to get -10.

$$-2x-10=8+x+1$$

Add 8 and 1 to get 9.

$$-2x-10=9+x$$

Subtract x from both sides.

$$-2x-10-x=9$$

Combine -2x and -x to get -3x.

$$-3x-10=9$$

Add 10 to both sides.

$$-3x=9+10$$

Add 9 and 10 to get 19.

$$-3x=19$$

Divide both sides by -3.

$$x=\frac{19}{-3}$$

Fraction \frac{19}{-3} can be rewritten as -\frac{19}{3} by extracting the negative sign.

$$x=-\frac{19}{3}$$