Solve 4(4x+11)=3

$$4 ( 4 x + 11 ) = 3$$

Solve for x

$$x = -\frac{41}{16} = -2\frac{9}{16} = -2.5625$$

Steps for Solving Linear Equation

Divide both sides by 4.

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

Subtract 11 from both sides.

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

Convert 11 to fraction \frac{44}{4}.

$$4x=\frac{3}{4}-\frac{44}{4}$$

Since \frac{3}{4} and \frac{44}{4} have the same denominator, subtract them by subtracting their numerators.

$$4x=\frac{3-44}{4}$$

Subtract 44 from 3 to get -41.

$$4x=-\frac{41}{4}$$

Divide both sides by 4.

$$x=\frac{-\frac{41}{4}}{4}$$

Express \frac{-\frac{41}{4}}{4} as a single fraction.

$$x=\frac{-41}{4\times 4}$$

Multiply 4 and 4 to get 16.

$$x=\frac{-41}{16}$$

Fraction \frac{-41}{16} can be rewritten as -\frac{41}{16} by extracting the negative sign.

$$x=-\frac{41}{16}$$