Solve 3(1-4x)=11

$$3 ( 1 - 4 x ) = 11$$

Solve for x

$$x=-\frac{2}{3}\approx -0.666666667$$

Steps for Solving Linear Equation

Divide both sides by 3.

$$1-4x=\frac{11}{3}$$

Subtract 1 from both sides.

$$-4x=\frac{11}{3}-1$$

Convert 1 to fraction \frac{3}{3}.

$$-4x=\frac{11}{3}-\frac{3}{3}$$

Since \frac{11}{3} and \frac{3}{3} have the same denominator, subtract them by subtracting their numerators.

$$-4x=\frac{11-3}{3}$$

Subtract 3 from 11 to get 8.

$$-4x=\frac{8}{3}$$

Divide both sides by -4.

$$x=\frac{\frac{8}{3}}{-4}$$

Express \frac{\frac{8}{3}}{-4} as a single fraction.

$$x=\frac{8}{3\left(-4\right)}$$

Multiply 3 and -4 to get -12.

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

Reduce the fraction \frac{8}{-12} to lowest terms by extracting and canceling out 4.

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