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

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

Solve for x

$$x=-\frac{7}{8}=-0.875$$

Steps for Solving Linear Equation

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

$$3x+4+4x+2=5-x-6$$

Combine 3x and 4x to get 7x.

$$7x+4+2=5-x-6$$

Add 4 and 2 to get 6.

$$7x+6=5-x-6$$

Subtract 6 from 5 to get -1.

$$7x+6=-1-x$$

Add x to both sides.

$$7x+6+x=-1$$

Combine 7x and x to get 8x.

$$8x+6=-1$$

Subtract 6 from both sides.

$$8x=-1-6$$

Subtract 6 from -1 to get -7.

$$8x=-7$$

Divide both sides by 8.

$$x=\frac{-7}{8}$$

Fraction \frac{-7}{8} can be rewritten as -\frac{7}{8} by extracting the negative sign.

$$x=-\frac{7}{8}$$