Solve 2/3-2x=4+5x

$$\frac { 2 } { 3 } - 2 x = 4 + 5 x$$

Solve for x

$$x=-\frac{10}{21}\approx -0.476190476$$

Steps for Solving Linear Equation

Subtract 5x from both sides.

$$\frac{2}{3}-2x-5x=4$$

Combine -2x and -5x to get -7x.

$$\frac{2}{3}-7x=4$$

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

$$-7x=4-\frac{2}{3}$$

Convert 4 to fraction \frac{12}{3}.

$$-7x=\frac{12}{3}-\frac{2}{3}$$

Since \frac{12}{3} and \frac{2}{3} have the same denominator, subtract them by subtracting their numerators.

$$-7x=\frac{12-2}{3}$$

Subtract 2 from 12 to get 10.

$$-7x=\frac{10}{3}$$

Divide both sides by -7.

$$x=\frac{\frac{10}{3}}{-7}$$

Express \frac{\frac{10}{3}}{-7} as a single fraction.

$$x=\frac{10}{3\left(-7\right)}$$

Multiply 3 and -7 to get -21.

$$x=\frac{10}{-21}$$

Fraction \frac{10}{-21} can be rewritten as -\frac{10}{21} by extracting the negative sign.

$$x=-\frac{10}{21}$$