Pre-Algebra Examples

$- 8 x + 14 = - 2 (4 x - 7)$

Step 1

Simplify $- 2 (4 x - 7)$ .

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Step 1.1

Rewrite.

$- 8 x + 14 = 0 + 0 - 2 (4 x - 7)$

Step 1.2

Simplify by adding zeros.

$- 8 x + 14 = - 2 (4 x - 7)$

Step 1.3

Apply the distributive property.

$- 8 x + 14 = - 2 (4 x) - 2 \cdot - 7$

Step 1.4

Multiply.

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Step 1.4.1

Multiply $4$ by $- 2$ .

$- 8 x + 14 = - 8 x - 2 \cdot - 7$

Step 1.4.2

Multiply $- 2$ by $- 7$ .

$- 8 x + 14 = - 8 x + 14$

Step 2

Move all terms containing $x$ to the left side of the equation.

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Step 2.1

Add $8 x$ to both sides of the equation.

$- 8 x + 14 + 8 x = 14$

Step 2.2

Combine the opposite terms in $- 8 x + 14 + 8 x$ .

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Step 2.2.1

Add $- 8 x$ and $8 x$ .

$0 + 14 = 14$

Step 2.2.2

Add $0$ and $14$ .

$14 = 14$

Step 3

Since $14 = 14$ , the equation will always be true for any value of $x$ .

All real numbers

Step 4

The result can be shown in multiple forms.

All real numbers

Interval Notation:

$(- \infty, \infty)$