Basic Math Examples

$4 (6 + c) = 3 (c - 3)$

Step 1

Simplify $4 (6 + c)$ .

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Step 1.1

Rewrite.

$0 + 0 + 4 (6 + c) = 3 (c - 3)$

Step 1.2

Simplify by adding zeros.

$4 (6 + c) = 3 (c - 3)$

Step 1.3

Apply the distributive property.

$4 \cdot 6 + 4 c = 3 (c - 3)$

Step 1.4

Multiply $4$ by $6$ .

$24 + 4 c = 3 (c - 3)$

Step 2

Simplify $3 (c - 3)$ .

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Step 2.1

Apply the distributive property.

$24 + 4 c = 3 c + 3 \cdot - 3$

Step 2.2

Multiply $3$ by $- 3$ .

$24 + 4 c = 3 c - 9$

Step 3

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

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Step 3.1

Subtract $3 c$ from both sides of the equation.

$24 + 4 c - 3 c = - 9$

Step 3.2

Subtract $3 c$ from $4 c$ .

$24 + c = - 9$

Step 4

Move all terms not containing $c$ to the right side of the equation.

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Step 4.1

Subtract $24$ from both sides of the equation.

$c = - 9 - 24$

Step 4.2

Subtract $24$ from $- 9$ .

$c = - 33$