Solve 6*12(1+x)=3x-8+x-2

$$6 \times 12 ( 1 + x ) = 3 x - 8 + x - 2$$

Solve for x

$$x = -\frac{41}{34} = -1\frac{7}{34} \approx -1.205882353$$

Steps for Solving Linear Equation

Multiply 6 and 12 to get 72.

$$72\left(1+x\right)=3x-8+x-2$$

Use the distributive property to multiply 72 by 1+x.

$$72+72x=3x-8+x-2$$

Combine 3x and x to get 4x.

$$72+72x=4x-8-2$$

Subtract 2 from -8 to get -10.

$$72+72x=4x-10$$

Subtract 4x from both sides.

$$72+72x-4x=-10$$

Combine 72x and -4x to get 68x.

$$72+68x=-10$$

Subtract 72 from both sides.

$$68x=-10-72$$

Subtract 72 from -10 to get -82.

$$68x=-82$$

Divide both sides by 68.

$$x=\frac{-82}{68}$$

Reduce the fraction \frac{-82}{68} to lowest terms by extracting and canceling out 2.

$$x=-\frac{41}{34}$$