If 4x+5=13x+4-x-9 then x= ?
2 answers:
4x + 5 = 12x -5
10 = 8x
10/8 = x
5/4 = x
Answer:
x = 5/4
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define Equation</u>
4x + 5 = 13x + 4 - x - 9
<u>Step 2: Solve for </u><em><u>x</u></em>
- Combine like terms: 4x + 5 = 12x - 5
- Subtract 4x on both sides: 5 = 8x - 5
- Isolate <em>x </em>term: 10 = 8x
- Isolate <em>x</em>: 5/4 = x
- Rewrite: x = 5/4
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: 4(5/4) + 5 = 13(5/4) + 4 - 5/4 - 9
- Multiply: 5 + 5 = 65/4 + 4 - 5/4 - 9
- Add: 10 = 81/4 - 5/4 - 9
- Subtract: 10 = 19 - 9
- Subtract: 10 = 10
Here we see that 10 does indeed equal 10.
∴ x = 5/4 is the solution to the equation.
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You could do -1/-2 times -5/-4 which would be 5/8
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