Solve -2=-3/11(-4)+x

$$-2=- \frac{ 3 }{ 11 } (-4)+x$$

Solve for x

$$x = -\frac{34}{11} = -3\frac{1}{11} \approx -3.090909091$$

Steps for Solving Linear Equation

Express -\frac{3}{11}\left(-4\right) as a single fraction.

$$-2=\frac{-3\left(-4\right)}{11}+x$$

Multiply -3 and -4 to get 12.

$$-2=\frac{12}{11}+x$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{12}{11}+x=-2$$

Subtract \frac{12}{11} from both sides.

$$x=-2-\frac{12}{11}$$

Convert -2 to fraction -\frac{22}{11}.

$$x=-\frac{22}{11}-\frac{12}{11}$$

Since -\frac{22}{11} and \frac{12}{11} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{-22-12}{11}$$

Subtract 12 from -22 to get -34.

$$x=-\frac{34}{11}$$