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

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

Solve for x

$$x=-\frac{2}{7}\approx -0.285714286$$

Steps for Solving Linear Equation

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

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

Combine x and 2x to get 3x.

$$3x-2=-4\left(x+1\right)$$

Use the distributive property to multiply -4 by x+1.

$$3x-2=-4x-4$$

Add 4x to both sides.

$$3x-2+4x=-4$$

Combine 3x and 4x to get 7x.

$$7x-2=-4$$

Add 2 to both sides.

$$7x=-4+2$$

Add -4 and 2 to get -2.

$$7x=-2$$

Divide both sides by 7.

$$x=\frac{-2}{7}$$

Fraction \frac{-2}{7} can be rewritten as -\frac{2}{7} by extracting the negative sign.

$$x=-\frac{2}{7}$$