Solve x=3x+5/2

$$x = \frac { 3 x + 5 } { 2 }$$

Solve for x

$$x=-5$$

Steps for Solving Linear Equation

Divide each term of 3x+5 by 2 to get \frac{3}{2}x+\frac{5}{2}.

$$x=\frac{3}{2}x+\frac{5}{2}$$

Subtract \frac{3}{2}x from both sides.

$$x-\frac{3}{2}x=\frac{5}{2}$$

Combine x and -\frac{3}{2}x to get -\frac{1}{2}x.

$$-\frac{1}{2}x=\frac{5}{2}$$

Multiply both sides by -2, the reciprocal of -\frac{1}{2}.

$$x=\frac{5}{2}\left(-2\right)$$

Express \frac{5}{2}\left(-2\right) as a single fraction.

$$x=\frac{5\left(-2\right)}{2}$$

Multiply 5 and -2 to get -10.

$$x=\frac{-10}{2}$$

Divide -10 by 2 to get -5.

$$x=-5$$