Solve 12-5(x+3)=8x-5

$$12-5(x+3)=8x-5$$

Solve for x

$$x=\frac{2}{13}\approx 0.153846154$$

Steps for Solving Linear Equation

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

$$12-5x-15=8x-5$$

Subtract 15 from 12 to get -3.

$$-3-5x=8x-5$$

Subtract 8x from both sides.

$$-3-5x-8x=-5$$

Combine -5x and -8x to get -13x.

$$-3-13x=-5$$

Add 3 to both sides.

$$-13x=-5+3$$

Add -5 and 3 to get -2.

$$-13x=-2$$

Divide both sides by -13.

$$x=\frac{-2}{-13}$$

Fraction \frac{-2}{-13} can be simplified to \frac{2}{13} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{2}{13}$$