Solve 2x+1-(2+x)-7=3x+7

$$2 x + 1 - ( 2 + x ) - 7 = 3 x + 7$$

Solve for x

$$x = -\frac{15}{2} = -7\frac{1}{2} = -7.5$$

Steps for Solving Linear Equation

To find the opposite of 2+x, find the opposite of each term.

$$2x+1-2-x-7=3x+7$$

Subtract 2 from 1 to get -1.

$$2x-1-x-7=3x+7$$

Combine 2x and -x to get x.

$$x-1-7=3x+7$$

Subtract 7 from -1 to get -8.

$$x-8=3x+7$$

Subtract 3x from both sides.

$$x-8-3x=7$$

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

$$-2x-8=7$$

Add 8 to both sides.

$$-2x=7+8$$

Add 7 and 8 to get 15.

$$-2x=15$$

Divide both sides by -2.

$$x=\frac{15}{-2}$$

Fraction \frac{15}{-2} can be rewritten as -\frac{15}{2} by extracting the negative sign.

$$x=-\frac{15}{2}$$