Solve 6(x+1)=9(-2+x)-3

$$6 ( x + 1 ) = 9 ( - 2 + x ) - 3$$

Solve for x

$$x=9$$

Steps for Solving Linear Equation

Use the distributive property to multiply 6 by x+1.

$$6x+6=9\left(-2+x\right)-3$$

Use the distributive property to multiply 9 by -2+x.

$$6x+6=-18+9x-3$$

Subtract 3 from -18 to get -21.

$$6x+6=-21+9x$$

Subtract 9x from both sides.

$$6x+6-9x=-21$$

Combine 6x and -9x to get -3x.

$$-3x+6=-21$$

Subtract 6 from both sides.

$$-3x=-21-6$$

Subtract 6 from -21 to get -27.

$$-3x=-27$$

Divide both sides by -3.

$$x=\frac{-27}{-3}$$

Divide -27 by -3 to get 9.

$$x=9$$