Solve 5[-6(2x-5)+2]+13=163

$$5 [ - 6 ( 2 x - 5 ) + 2 ] + 13 = 163$$

Solve for x

$$x=\frac{1}{6}\approx 0.166666667$$

Steps for Solving Linear Equation

Use the distributive property to multiply -6 by 2x-5.

$$5\left(-12x+30+2\right)+13=163$$

Add 30 and 2 to get 32.

$$5\left(-12x+32\right)+13=163$$

Use the distributive property to multiply 5 by -12x+32.

$$-60x+160+13=163$$

Add 160 and 13 to get 173.

$$-60x+173=163$$

Subtract 173 from both sides.

$$-60x=163-173$$

Subtract 173 from 163 to get -10.

$$-60x=-10$$

Divide both sides by -60.

$$x=\frac{-10}{-60}$$

Reduce the fraction \frac{-10}{-60} to lowest terms by extracting and canceling out -10.

$$x=\frac{1}{6}$$