Basic Math Examples

$8 c - (c - 3) = 4 c + 3 (c + 1)$

Step 1

Simplify $8 c - (c - 3)$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$8 c - c - - 3 = 4 c + 3 (c + 1)$

Step 1.1.2

Multiply $- 1$ by $- 3$ .

$8 c - c + 3 = 4 c + 3 (c + 1)$

Step 1.2

Subtract $c$ from $8 c$ .

$7 c + 3 = 4 c + 3 (c + 1)$

Step 2

Simplify $4 c + 3 (c + 1)$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$7 c + 3 = 4 c + 3 c + 3 \cdot 1$

Step 2.1.2

Multiply $3$ by $1$ .

$7 c + 3 = 4 c + 3 c + 3$

Step 2.2

Add $4 c$ and $3 c$ .

$7 c + 3 = 7 c + 3$

Step 3

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

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Step 3.1

Subtract $7 c$ from both sides of the equation.

$7 c + 3 - 7 c = 3$

Step 3.2

Combine the opposite terms in $7 c + 3 - 7 c$ .

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Step 3.2.1

Subtract $7 c$ from $7 c$ .

$0 + 3 = 3$

Step 3.2.2

Add $0$ and $3$ .

$3 = 3$

Step 4

Since $3 = 3$ , the equation will always be true for any value of $c$ .

All real numbers

Step 5

The result can be shown in multiple forms.

All real numbers

Interval Notation:

$(- \infty, \infty)$