Solve (12+2x)*8=27

$$( 12 + 2 x ) \cdot 8 = 27$$

Solve for x

$$x = -\frac{69}{16} = -4\frac{5}{16} = -4.3125$$

Steps for Solving Linear Equation

Divide both sides by 8.

$$12+2x=\frac{27}{8}$$

Subtract 12 from both sides.

$$2x=\frac{27}{8}-12$$

Convert 12 to fraction \frac{96}{8}.

$$2x=\frac{27}{8}-\frac{96}{8}$$

Since \frac{27}{8} and \frac{96}{8} have the same denominator, subtract them by subtracting their numerators.

$$2x=\frac{27-96}{8}$$

Subtract 96 from 27 to get -69.

$$2x=-\frac{69}{8}$$

Divide both sides by 2.

$$x=\frac{-\frac{69}{8}}{2}$$

Express \frac{-\frac{69}{8}}{2} as a single fraction.

$$x=\frac{-69}{8\times 2}$$

Multiply 8 and 2 to get 16.

$$x=\frac{-69}{16}$$

Fraction \frac{-69}{16} can be rewritten as -\frac{69}{16} by extracting the negative sign.

$$x=-\frac{69}{16}$$