Solve 2x+24=2/7x

$$2 x + 24 = \frac { 2 } { 7 } x$$

Solve for x

$$x=-14$$

Steps for Solving Linear Equation

Subtract \frac{2}{7}x from both sides.

$$2x+24-\frac{2}{7}x=0$$

Combine 2x and -\frac{2}{7}x to get \frac{12}{7}x.

$$\frac{12}{7}x+24=0$$

Subtract 24 from both sides. Anything subtracted from zero gives its negation.

$$\frac{12}{7}x=-24$$

Multiply both sides by \frac{7}{12}, the reciprocal of \frac{12}{7}.

$$x=-24\times \frac{7}{12}$$

Express -24\times \frac{7}{12} as a single fraction.

$$x=\frac{-24\times 7}{12}$$

Multiply -24 and 7 to get -168.

$$x=\frac{-168}{12}$$

Divide -168 by 12 to get -14.

$$x=-14$$