Solve 20-5(x+3)=2(x+5)-8

$$20 - 5 ( x + 3 ) = 2 ( x + 5 ) - 8$$

Solve for x

$$x=\frac{3}{7}\approx 0.428571429$$

Steps for Solving Linear Equation

Use the distributive property to multiply -5 by x+3.

$$20-5x-15=2\left(x+5\right)-8$$

Subtract 15 from 20 to get 5.

$$5-5x=2\left(x+5\right)-8$$

Use the distributive property to multiply 2 by x+5.

$$5-5x=2x+10-8$$

Subtract 8 from 10 to get 2.

$$5-5x=2x+2$$

Subtract 2x from both sides.

$$5-5x-2x=2$$

Combine -5x and -2x to get -7x.

$$5-7x=2$$

Subtract 5 from both sides.

$$-7x=2-5$$

Subtract 5 from 2 to get -3.

$$-7x=-3$$

Divide both sides by -7.

$$x=\frac{-3}{-7}$$

Fraction \frac{-3}{-7} can be simplified to \frac{3}{7} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{3}{7}$$