Solve 4left(5+3xright)=1/256

$$4 \left( 5+3x \right) = \frac{ 1 }{ 256 }$$

Solve for x

$$x = -\frac{5119}{3072} = -1\frac{2047}{3072} \approx -1.666341146$$

Steps for Solving Linear Equation

Divide both sides by 4.

$$5+3x=\frac{\frac{1}{256}}{4}$$

Express \frac{\frac{1}{256}}{4} as a single fraction.

$$5+3x=\frac{1}{256\times 4}$$

Multiply 256 and 4 to get 1024.

$$5+3x=\frac{1}{1024}$$

Subtract 5 from both sides.

$$3x=\frac{1}{1024}-5$$

Convert 5 to fraction \frac{5120}{1024}.

$$3x=\frac{1}{1024}-\frac{5120}{1024}$$

Since \frac{1}{1024} and \frac{5120}{1024} have the same denominator, subtract them by subtracting their numerators.

$$3x=\frac{1-5120}{1024}$$

Subtract 5120 from 1 to get -5119.

$$3x=-\frac{5119}{1024}$$

Divide both sides by 3.

$$x=\frac{-\frac{5119}{1024}}{3}$$

Express \frac{-\frac{5119}{1024}}{3} as a single fraction.

$$x=\frac{-5119}{1024\times 3}$$

Multiply 1024 and 3 to get 3072.

$$x=\frac{-5119}{3072}$$

Fraction \frac{-5119}{3072} can be rewritten as -\frac{5119}{3072} by extracting the negative sign.

$$x=-\frac{5119}{3072}$$