Solve 2(12x-0.035)=0.6-(x+0.075)

$$2(12x-0.035)=0.6-(x+0.075)$$

Solve for x

$$x=0.0238$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by 12x-0.035.

$$24x-0.07=0.6-\left(x+0.075\right)$$

To find the opposite of x+0.075, find the opposite of each term.

$$24x-0.07=0.6-x-0.075$$

Subtract 0.075 from 0.6 to get 0.525.

$$24x-0.07=0.525-x$$

Add x to both sides.

$$24x-0.07+x=0.525$$

Combine 24x and x to get 25x.

$$25x-0.07=0.525$$

Add 0.07 to both sides.

$$25x=0.525+0.07$$

Add 0.525 and 0.07 to get 0.595.

$$25x=0.595$$

Divide both sides by 25.

$$x=\frac{0.595}{25}$$

Expand \frac{0.595}{25} by multiplying both numerator and the denominator by 1000.

$$x=\frac{595}{25000}$$

Reduce the fraction \frac{595}{25000} to lowest terms by extracting and canceling out 5.

$$x=\frac{119}{5000}$$