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

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

Solve for x

$$x=-\frac{1}{9}\approx -0.111111111$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 14, the least common multiple of 2,7.

$$7\left(x+1\right)=14-2\left(x+4\right)$$

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

$$7x+7=14-2\left(x+4\right)$$

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

$$7x+7=14-2x-8$$

Subtract 8 from 14 to get 6.

$$7x+7=6-2x$$

Add 2x to both sides.

$$7x+7+2x=6$$

Combine 7x and 2x to get 9x.

$$9x+7=6$$

Subtract 7 from both sides.

$$9x=6-7$$

Subtract 7 from 6 to get -1.

$$9x=-1$$

Divide both sides by 9.

$$x=\frac{-1}{9}$$

Fraction \frac{-1}{9} can be rewritten as -\frac{1}{9} by extracting the negative sign.

$$x=-\frac{1}{9}$$