Solve (x+1)+5=5/2x+2

$$( x + 1 ) + 5 = \frac { 5 } { 2 } x + 2$$

Solve for x

$$x = \frac{8}{3} = 2\frac{2}{3} \approx 2.666666667$$

Steps for Solving Linear Equation

Add 1 and 5 to get 6.

$$x+6=\frac{5}{2}x+2$$

Subtract \frac{5}{2}x from both sides.

$$x+6-\frac{5}{2}x=2$$

Combine x and -\frac{5}{2}x to get -\frac{3}{2}x.

$$-\frac{3}{2}x+6=2$$

Subtract 6 from both sides.

$$-\frac{3}{2}x=2-6$$

Subtract 6 from 2 to get -4.

$$-\frac{3}{2}x=-4$$

Multiply both sides by -\frac{2}{3}, the reciprocal of -\frac{3}{2}.

$$x=-4\left(-\frac{2}{3}\right)$$

Express -4\left(-\frac{2}{3}\right) as a single fraction.

$$x=\frac{-4\left(-2\right)}{3}$$

Multiply -4 and -2 to get 8.

$$x=\frac{8}{3}$$