Solve 3-2(x+1)=4(x+2)

$$3 - 2 ( x + 1 ) = 4 ( x + 2 )$$

Solve for x

$$x = -\frac{7}{6} = -1\frac{1}{6} \approx -1.166666667$$

Steps for Solving Linear Equation

Use the distributive property to multiply -2 by x+1.

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

Subtract 2 from 3 to get 1.

$$1-2x=4\left(x+2\right)$$

Use the distributive property to multiply 4 by x+2.

$$1-2x=4x+8$$

Subtract 4x from both sides.

$$1-2x-4x=8$$

Combine -2x and -4x to get -6x.

$$1-6x=8$$

Subtract 1 from both sides.

$$-6x=8-1$$

Subtract 1 from 8 to get 7.

$$-6x=7$$

Divide both sides by -6.

$$x=\frac{7}{-6}$$

Fraction \frac{7}{-6} can be rewritten as -\frac{7}{6} by extracting the negative sign.

$$x=-\frac{7}{6}$$