Solve 120-24x-15x+5=70-20x-6x+2

$$120 - 24 x - 15 x + 5 = 70 - 20 x - 6 x + 2$$

Solve for x

$$x = \frac{53}{13} = 4\frac{1}{13} \approx 4.076923077$$

Steps for Solving Linear Equation

Combine -24x and -15x to get -39x.

$$120-39x+5=70-20x-6x+2$$

Add 120 and 5 to get 125.

$$125-39x=70-20x-6x+2$$

Combine -20x and -6x to get -26x.

$$125-39x=70-26x+2$$

Add 70 and 2 to get 72.

$$125-39x=72-26x$$

Add 26x to both sides.

$$125-39x+26x=72$$

Combine -39x and 26x to get -13x.

$$125-13x=72$$

Subtract 125 from both sides.

$$-13x=72-125$$

Subtract 125 from 72 to get -53.

$$-13x=-53$$

Divide both sides by -13.

$$x=\frac{-53}{-13}$$

Fraction \frac{-53}{-13} can be simplified to \frac{53}{13} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{53}{13}$$