Solve x+12-2(1-x)=4(x+4)-12(x+1)

$$x + 12 - 2 ( 1 - x ) = 4 ( x + 4 ) - 12 ( x + 1 )$$

Solve for x

$$x=-\frac{6}{11}\approx -0.545454545$$

Steps for Solving Linear Equation

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

$$x+12-2+2x=4\left(x+4\right)-12\left(x+1\right)$$

Subtract 2 from 12 to get 10.

$$x+10+2x=4\left(x+4\right)-12\left(x+1\right)$$

Combine x and 2x to get 3x.

$$3x+10=4\left(x+4\right)-12\left(x+1\right)$$

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

$$3x+10=4x+16-12\left(x+1\right)$$

Use the distributive property to multiply -12 by x+1.

$$3x+10=4x+16-12x-12$$

Combine 4x and -12x to get -8x.

$$3x+10=-8x+16-12$$

Subtract 12 from 16 to get 4.

$$3x+10=-8x+4$$

Add 8x to both sides.

$$3x+10+8x=4$$

Combine 3x and 8x to get 11x.

$$11x+10=4$$

Subtract 10 from both sides.

$$11x=4-10$$

Subtract 10 from 4 to get -6.

$$11x=-6$$

Divide both sides by 11.

$$x=\frac{-6}{11}$$

Fraction \frac{-6}{11} can be rewritten as -\frac{6}{11} by extracting the negative sign.

$$x=-\frac{6}{11}$$