Solve 2(x+7)-x=1-(x+3.8)

$$2 ( x + 7 ) - x = 1 - ( x + 3.8 )$$

Solve for x

$$x=-8.4$$

Steps for Solving Linear Equation

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

$$2x+14-x=1-\left(x+3.8\right)$$

Combine 2x and -x to get x.

$$x+14=1-\left(x+3.8\right)$$

To find the opposite of x+3.8, find the opposite of each term.

$$x+14=1-x-3.8$$

Subtract 3.8 from 1 to get -2.8.

$$x+14=-2.8-x$$

Add x to both sides.

$$x+14+x=-2.8$$

Combine x and x to get 2x.

$$2x+14=-2.8$$

Subtract 14 from both sides.

$$2x=-2.8-14$$

Subtract 14 from -2.8 to get -16.8.

$$2x=-16.8$$

Divide both sides by 2.

$$x=\frac{-16.8}{2}$$

Expand \frac{-16.8}{2} by multiplying both numerator and the denominator by 10.

$$x=\frac{-168}{20}$$

Reduce the fraction \frac{-168}{20} to lowest terms by extracting and canceling out 4.

$$x=-\frac{42}{5}$$