Algebra Examples

$- 3 (2 x + 7) + (- 5 x + 6) - 8 (1 - 2 x) - (x - 3) = 0$

Step 1

Simplify $- 3 (2 x + 7) - 5 x + 6 - 8 (1 - 2 x) - (x - 3)$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$- 3 (2 x) - 3 \cdot 7 - 5 x + 6 - 8 (1 - 2 x) - (x - 3) = 0$

Step 1.1.2

Multiply $2$ by $- 3$ .

$- 6 x - 3 \cdot 7 - 5 x + 6 - 8 (1 - 2 x) - (x - 3) = 0$

Step 1.1.3

Multiply $- 3$ by $7$ .

$- 6 x - 21 - 5 x + 6 - 8 (1 - 2 x) - (x - 3) = 0$

Step 1.1.4

Apply the distributive property.

$- 6 x - 21 - 5 x + 6 - 8 \cdot 1 - 8 (- 2 x) - (x - 3) = 0$

Step 1.1.5

Multiply $- 8$ by $1$ .

$- 6 x - 21 - 5 x + 6 - 8 - 8 (- 2 x) - (x - 3) = 0$

Step 1.1.6

Multiply $- 2$ by $- 8$ .

$- 6 x - 21 - 5 x + 6 - 8 + 16 x - (x - 3) = 0$

Step 1.1.7

Apply the distributive property.

$- 6 x - 21 - 5 x + 6 - 8 + 16 x - x - - 3 = 0$

Step 1.1.8

Multiply $- 1$ by $- 3$ .

$- 6 x - 21 - 5 x + 6 - 8 + 16 x - x + 3 = 0$

Step 1.2

Simplify by adding terms.

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Step 1.2.1

Subtract $5 x$ from $- 6 x$ .

$- 11 x - 21 + 6 - 8 + 16 x - x + 3 = 0$

Step 1.2.2

Add $- 11 x$ and $16 x$ .

$5 x - 21 + 6 - 8 - x + 3 = 0$

Step 1.2.3

Subtract $x$ from $5 x$ .

$4 x - 21 + 6 - 8 + 3 = 0$

Step 1.2.4

Simplify by adding and subtracting.

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Step 1.2.4.1

Add $- 21$ and $6$ .

$4 x - 15 - 8 + 3 = 0$

Step 1.2.4.2

Subtract $8$ from $- 15$ .

$4 x - 23 + 3 = 0$

Step 1.2.4.3

Add $- 23$ and $3$ .

$4 x - 20 = 0$

Step 2

Add $20$ to both sides of the equation.

$4 x = 20$

Step 3

Divide each term in $4 x = 20$ by $4$ and simplify.

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Step 3.1

Divide each term in $4 x = 20$ by $4$ .

$\frac{4 x}{4} = \frac{20}{4}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $4$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{4 x}{4} = \frac{20}{4}$

Step 3.2.1.2

Divide $x$ by $1$ .

$x = \frac{20}{4}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide $20$ by $4$ .

$x = 5$