Solve k=-1/2*3k+7

$$k = - \frac { 1 } { 2 } \times 3 k + 7$$

Solve for k

$$k = \frac{14}{5} = 2\frac{4}{5} = 2.8$$

Steps for Solving Linear Equation

Express -\frac{1}{2}\times 3 as a single fraction.

$$k=\frac{-3}{2}k+7$$

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

$$k=-\frac{3}{2}k+7$$

Add \frac{3}{2}k to both sides.

$$k+\frac{3}{2}k=7$$

Combine k and \frac{3}{2}k to get \frac{5}{2}k.

$$\frac{5}{2}k=7$$

Multiply both sides by \frac{2}{5}, the reciprocal of \frac{5}{2}.

$$k=7\times \frac{2}{5}$$

Express 7\times \frac{2}{5} as a single fraction.

$$k=\frac{7\times 2}{5}$$

Multiply 7 and 2 to get 14.

$$k=\frac{14}{5}$$