Solve -4(1+3x)=2

$$-4(1+3x)=2$$

Solve for x

$$x=-\frac{1}{2}=-0.5$$

Steps for Solving Linear Equation

Divide both sides by -4.

$$1+3x=\frac{2}{-4}$$

Reduce the fraction \frac{2}{-4} to lowest terms by extracting and canceling out 2.

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

Subtract 1 from both sides.

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

Convert 1 to fraction \frac{2}{2}.

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

Since -\frac{1}{2} and \frac{2}{2} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 2 from -1 to get -3.

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

Divide both sides by 3.

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

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

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

Multiply 2 and 3 to get 6.

$$x=\frac{-3}{6}$$

Reduce the fraction \frac{-3}{6} to lowest terms by extracting and canceling out 3.

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