Solve 6x+6-8(x+1)=7x+2

$$6 x + 6 - 8 ( x + 1 ) = 7 x + 2$$

Solve for x

$$x=-\frac{4}{9}\approx -0.444444444$$

Steps for Solving Linear Equation

Use the distributive property to multiply -8 by x+1.

$$6x+6-8x-8=7x+2$$

Combine 6x and -8x to get -2x.

$$-2x+6-8=7x+2$$

Subtract 8 from 6 to get -2.

$$-2x-2=7x+2$$

Subtract 7x from both sides.

$$-2x-2-7x=2$$

Combine -2x and -7x to get -9x.

$$-9x-2=2$$

Add 2 to both sides.

$$-9x=2+2$$

Add 2 and 2 to get 4.

$$-9x=4$$

Divide both sides by -9.

$$x=\frac{4}{-9}$$

Fraction \frac{4}{-9} can be rewritten as -\frac{4}{9} by extracting the negative sign.

$$x=-\frac{4}{9}$$