Solve 3-(4x+2-1)+3=5(x+6)-8

$$3-(4x+2-1)+3=5(x+6)-8$$

Solve for x

$$x = -\frac{17}{9} = -1\frac{8}{9} \approx -1.888888889$$

Steps for Solving Linear Equation

Subtract 1 from 2 to get 1.

$$3-\left(4x+1\right)+3=5\left(x+6\right)-8$$

To find the opposite of 4x+1, find the opposite of each term.

$$3-4x-1+3=5\left(x+6\right)-8$$

Subtract 1 from 3 to get 2.

$$2-4x+3=5\left(x+6\right)-8$$

Add 2 and 3 to get 5.

$$5-4x=5\left(x+6\right)-8$$

Use the distributive property to multiply 5 by x+6.

$$5-4x=5x+30-8$$

Subtract 8 from 30 to get 22.

$$5-4x=5x+22$$

Subtract 5x from both sides.

$$5-4x-5x=22$$

Combine -4x and -5x to get -9x.

$$5-9x=22$$

Subtract 5 from both sides.

$$-9x=22-5$$

Subtract 5 from 22 to get 17.

$$-9x=17$$

Divide both sides by -9.

$$x=\frac{17}{-9}$$

Fraction \frac{17}{-9} can be rewritten as -\frac{17}{9} by extracting the negative sign.

$$x=-\frac{17}{9}$$