Solve -3x-(13x-6)-(6-48x)=2

$$-3x-(13x-6)-(6-48x)=2$$

Solve for x

$$x=\frac{1}{16}=0.0625$$

Steps for Solving Linear Equation

To find the opposite of 13x-6, find the opposite of each term.

$$-3x-13x-\left(-6\right)-\left(6-48x\right)=2$$

The opposite of -6 is 6.

$$-3x-13x+6-\left(6-48x\right)=2$$

Combine -3x and -13x to get -16x.

$$-16x+6-\left(6-48x\right)=2$$

To find the opposite of 6-48x, find the opposite of each term.

$$-16x+6-6-\left(-48x\right)=2$$

The opposite of -48x is 48x.

$$-16x+6-6+48x=2$$

Subtract 6 from 6 to get 0.

$$-16x+48x=2$$

Combine -16x and 48x to get 32x.

$$32x=2$$

Divide both sides by 32.

$$x=\frac{2}{32}$$

Reduce the fraction \frac{2}{32} to lowest terms by extracting and canceling out 2.

$$x=\frac{1}{16}$$