Solve 1/23x+5=1

$$\frac { 1 } { 2 } 3 x + 5 = 1$$

Solve for x

$$x = -\frac{8}{3} = -2\frac{2}{3} \approx -2.666666667$$

Steps for Solving Linear Equation

Multiply \frac{1}{2} and 3 to get \frac{3}{2}.

$$\frac{3}{2}x+5=1$$

Subtract 5 from both sides.

$$\frac{3}{2}x=1-5$$

Subtract 5 from 1 to get -4.

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

Multiply both sides by \frac{2}{3}, the reciprocal of \frac{3}{2}.

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

Express -4\times \frac{2}{3} as a single fraction.

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

Multiply -4 and 2 to get -8.

$$x=\frac{-8}{3}$$

Fraction \frac{-8}{3} can be rewritten as -\frac{8}{3} by extracting the negative sign.

$$x=-\frac{8}{3}$$