Solve 0.01x+0.03/0.06-2x-3/4=1

$$\frac{ 0.01x+0.03 }{ 0.06 } - \frac{ 2x-3 }{ 4 } =1$$

Solve for x

$$x=0.75$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 4.

$$4\times \frac{0.01x+0.03}{0.06}-\left(2x-3\right)=4$$

To find the opposite of 2x-3, find the opposite of each term.

$$4\times \frac{0.01x+0.03}{0.06}-2x-\left(-3\right)=4$$

The opposite of -3 is 3.

$$4\times \frac{0.01x+0.03}{0.06}-2x+3=4$$

Divide each term of 0.01x+0.03 by 0.06 to get \frac{0.01x}{0.06}+\frac{0.03}{0.06}.

$$4\left(\frac{0.01x}{0.06}+\frac{0.03}{0.06}\right)-2x+3=4$$

Divide 0.01x by 0.06 to get \frac{1}{6}x.

$$4\left(\frac{1}{6}x+\frac{0.03}{0.06}\right)-2x+3=4$$

Expand \frac{0.03}{0.06} by multiplying both numerator and the denominator by 100.

$$4\left(\frac{1}{6}x+\frac{3}{6}\right)-2x+3=4$$

Reduce the fraction \frac{3}{6} to lowest terms by extracting and canceling out 3.

$$4\left(\frac{1}{6}x+\frac{1}{2}\right)-2x+3=4$$

Use the distributive property to multiply 4 by \frac{1}{6}x+\frac{1}{2}.

$$\frac{2}{3}x+4\times \frac{1}{2}-2x+3=4$$

Multiply 4 and \frac{1}{2} to get \frac{4}{2}.

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

Divide 4 by 2 to get 2.

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

Combine \frac{2}{3}x and -2x to get -\frac{4}{3}x.

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

Add 2 and 3 to get 5.

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

Subtract 5 from both sides.

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

Subtract 5 from 4 to get -1.

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

Divide both sides by -\frac{4}{3}.

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