Solve -5(x-4)+2=-1+(x+6)

$$- 5 ( x - 4 ) + 2 = - 1 + ( x + 6 )$$

Solve for x

$$x = \frac{17}{6} = 2\frac{5}{6} \approx 2.833333333$$

Steps for Solving Linear Equation

Use the distributive property to multiply -5 by x-4.

$$-5x+20+2=-1+x+6$$

Add 20 and 2 to get 22.

$$-5x+22=-1+x+6$$

Add -1 and 6 to get 5.

$$-5x+22=5+x$$

Subtract x from both sides.

$$-5x+22-x=5$$

Combine -5x and -x to get -6x.

$$-6x+22=5$$

Subtract 22 from both sides.

$$-6x=5-22$$

Subtract 22 from 5 to get -17.

$$-6x=-17$$

Divide both sides by -6.

$$x=\frac{-17}{-6}$$

Fraction \frac{-17}{-6} can be simplified to \frac{17}{6} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{17}{6}$$