Solve 2(x+7)-x=1-(x+38)

$$2 ( x + 7 ) - x = 1 - ( x + 38 )$$

Solve for x

$$x = -\frac{51}{2} = -25\frac{1}{2} = -25.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by x+7.

$$2x+14-x=1-\left(x+38\right)$$

Combine 2x and -x to get x.

$$x+14=1-\left(x+38\right)$$

To find the opposite of x+38, find the opposite of each term.

$$x+14=1-x-38$$

Subtract 38 from 1 to get -37.

$$x+14=-37-x$$

Add x to both sides.

$$x+14+x=-37$$

Combine x and x to get 2x.

$$2x+14=-37$$

Subtract 14 from both sides.

$$2x=-37-14$$

Subtract 14 from -37 to get -51.

$$2x=-51$$

Divide both sides by 2.

$$x=\frac{-51}{2}$$

Fraction \frac{-51}{2} can be rewritten as -\frac{51}{2} by extracting the negative sign.

$$x=-\frac{51}{2}$$