Solve A=-2/3x+5/2x-2x

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

Solve for A

$$A=-\frac{x}{6}$$

Solution Steps

Fraction \frac{-2}{3} can be rewritten as -\frac{2}{3} by extracting the negative sign.

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

Combine -\frac{2}{3}x and \frac{5}{2}x to get \frac{11}{6}x.

$$A=\frac{11}{6}x-2x$$

Combine \frac{11}{6}x and -2x to get -\frac{1}{6}x.

$$A=-\frac{1}{6}x$$

Solve for x

$$x=-6A$$

Steps for Solving Linear Equation

Fraction \frac{-2}{3} can be rewritten as -\frac{2}{3} by extracting the negative sign.

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

Combine -\frac{2}{3}x and \frac{5}{2}x to get \frac{11}{6}x.

$$A=\frac{11}{6}x-2x$$

Combine \frac{11}{6}x and -2x to get -\frac{1}{6}x.

$$A=-\frac{1}{6}x$$

Swap sides so that all variable terms are on the left hand side.

$$-\frac{1}{6}x=A$$

Multiply both sides by -6.

$$\frac{-\frac{1}{6}x}{-\frac{1}{6}}=\frac{A}{-\frac{1}{6}}$$

Dividing by -\frac{1}{6} undoes the multiplication by -\frac{1}{6}.

$$x=\frac{A}{-\frac{1}{6}}$$

Divide A by -\frac{1}{6} by multiplying A by the reciprocal of -\frac{1}{6}.

$$x=-6A$$