Solve 1/4(4x-1)=-1/5-2/5

$$\frac { 1 } { 4 } ( 4 x - 1 ) = - \frac { 1 } { 5 } - \frac { 2 } { 5 }$$

Solve for x

$$x=-\frac{7}{20}=-0.35$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{1}{4} by 4x-1.

$$\frac{1}{4}\times 4x+\frac{1}{4}\left(-1\right)=-\frac{1}{5}-\frac{2}{5}$$

Cancel out 4 and 4.

$$x+\frac{1}{4}\left(-1\right)=-\frac{1}{5}-\frac{2}{5}$$

Multiply \frac{1}{4} and -1 to get -\frac{1}{4}.

$$x-\frac{1}{4}=-\frac{1}{5}-\frac{2}{5}$$

Since -\frac{1}{5} and \frac{2}{5} have the same denominator, subtract them by subtracting their numerators.

$$x-\frac{1}{4}=\frac{-1-2}{5}$$

Subtract 2 from -1 to get -3.

$$x-\frac{1}{4}=-\frac{3}{5}$$

Add \frac{1}{4} to both sides.

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

Least common multiple of 5 and 4 is 20. Convert -\frac{3}{5} and \frac{1}{4} to fractions with denominator 20.

$$x=-\frac{12}{20}+\frac{5}{20}$$

Since -\frac{12}{20} and \frac{5}{20} have the same denominator, add them by adding their numerators.

$$x=\frac{-12+5}{20}$$

Add -12 and 5 to get -7.

$$x=-\frac{7}{20}$$