# Algebraic equations

• Simple example:
• Start with equation $$x + 9 = 12$$
• Subtract 9 from both sides, so you are left with $$x = 3$$
• More complex example:
• Start with equation $$15 - 2x = 7$$
• Subtract 15 from both sides, so you have $$-2x = -8$$
• Divide both side by -2, you are left with $$x = 4$$
• Example with fractions:
• Start with equation $$\frac{x}{5} = 20$$
• Multiply both sides by 5, so you are left with $$x = 100$$
• Example with rearranging:
• Start with equation $$3 = \frac{36}{x}$$
• Multiple both sides with $$x$$, so you have $$3x = 36$$
• Divide both sides by 3, so you are left with $$x = 12$$
• Example with expansion:
• Start with equation $$8(x + 2) = 36$$
• Expand the equation, so you have $$8x + 16 = 26$$
• Subtract 16 from both sides, so you have $$8x = 20$$
• Divide both sides by 8, so you are left with $$x = 2.5$$

Created: 2021-11-13 Sat 19:39

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