Solve x+3/2-15/4x=-4

$$x + \frac { 3 } { 2 } - \frac { 15 } { 4 } x = - 4$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Combine x and -\frac{15}{4}x to get -\frac{11}{4}x.

$$-\frac{11}{4}x+\frac{3}{2}=-4$$

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

$$-\frac{11}{4}x=-4-\frac{3}{2}$$

Convert -4 to fraction -\frac{8}{2}.

$$-\frac{11}{4}x=-\frac{8}{2}-\frac{3}{2}$$

Since -\frac{8}{2} and \frac{3}{2} have the same denominator, subtract them by subtracting their numerators.

$$-\frac{11}{4}x=\frac{-8-3}{2}$$

Subtract 3 from -8 to get -11.

$$-\frac{11}{4}x=-\frac{11}{2}$$

Multiply both sides by -\frac{4}{11}, the reciprocal of -\frac{11}{4}.

$$x=-\frac{11}{2}\left(-\frac{4}{11}\right)$$

Multiply -\frac{11}{2} times -\frac{4}{11} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-11\left(-4\right)}{2\times 11}$$

Do the multiplications in the fraction \frac{-11\left(-4\right)}{2\times 11}.

$$x=\frac{44}{22}$$

Divide 44 by 22 to get 2.

$$x=2$$