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

$$- 4 ( 2 x - 3 ) = - 11$$

Solve for x

$$x = \frac{23}{8} = 2\frac{7}{8} = 2.875$$

Steps for Solving Linear Equation

Divide both sides by -4.

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

Fraction \frac{-11}{-4} can be simplified to \frac{11}{4} by removing the negative sign from both the numerator and the denominator.

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

Add 3 to both sides.

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

Convert 3 to fraction \frac{12}{4}.

$$2x=\frac{11}{4}+\frac{12}{4}$$

Since \frac{11}{4} and \frac{12}{4} have the same denominator, add them by adding their numerators.

$$2x=\frac{11+12}{4}$$

Add 11 and 12 to get 23.

$$2x=\frac{23}{4}$$

Divide both sides by 2.

$$x=\frac{\frac{23}{4}}{2}$$

Express \frac{\frac{23}{4}}{2} as a single fraction.

$$x=\frac{23}{4\times 2}$$

Multiply 4 and 2 to get 8.

$$x=\frac{23}{8}$$