Solve 12-((8x+7(4-x-3x)-21))=10x-2(8x+1)-2x

$$12-((8x+7(4-x-3x)-21))=10x-2(8x+1)-2x$$

Solve for x

$$x=-\frac{1}{4}=-0.25$$

Steps for Solving Linear Equation

Combine -x and -3x to get -4x.

$$12-\left(8x+7\left(4-4x\right)-21\right)=10x-2\left(8x+1\right)-2x$$

Use the distributive property to multiply 7 by 4-4x.

$$12-\left(8x+28-28x-21\right)=10x-2\left(8x+1\right)-2x$$

Combine 8x and -28x to get -20x.

$$12-\left(-20x+28-21\right)=10x-2\left(8x+1\right)-2x$$

Subtract 21 from 28 to get 7.

$$12-\left(-20x+7\right)=10x-2\left(8x+1\right)-2x$$

To find the opposite of -20x+7, find the opposite of each term.

$$12-\left(-20x\right)-7=10x-2\left(8x+1\right)-2x$$

The opposite of -20x is 20x.

$$12+20x-7=10x-2\left(8x+1\right)-2x$$

Subtract 7 from 12 to get 5.

$$5+20x=10x-2\left(8x+1\right)-2x$$

Use the distributive property to multiply -2 by 8x+1.

$$5+20x=10x-16x-2-2x$$

Combine 10x and -16x to get -6x.

$$5+20x=-6x-2-2x$$

Combine -6x and -2x to get -8x.

$$5+20x=-8x-2$$

Add 8x to both sides.

$$5+20x+8x=-2$$

Combine 20x and 8x to get 28x.

$$5+28x=-2$$

Subtract 5 from both sides.

$$28x=-2-5$$

Subtract 5 from -2 to get -7.

$$28x=-7$$

Divide both sides by 28.

$$x=\frac{-7}{28}$$

Reduce the fraction \frac{-7}{28} to lowest terms by extracting and canceling out 7.

$$x=-\frac{1}{4}$$