Solve the equation for x.
12x + 20 = 5x - 10 - 3x
2 answers:
Answer:
x = -3
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
12x + 20 = 5x - 10 - 3x
<u>Step 2: Solve for </u><em><u>x</u></em>
- Combine like terms: 12x + 20 = 2x - 10
- Subtract 2x on both sides: 10x + 20 = -10
- Subtract 20 on both sides: 10x = -30
- Divide 10 on both sides: x = -3
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it is a solution.</em>
- Substitute in <em>x</em>: 12(-3) + 20 = 5(-3) - 10 - 3(-3)
- Multiply: -36 + 20 = -15 - 10 + 9
- Add: -16 = -15 - 1
- Subtract: -16 = -16
Here we see that -16 does indeed equal -16.
∴ x = -3 is a solution of the equation.
Answer:
x = -3
Step-by-step explanation:
seperate this equation into different sides where like terms are on each side.
12x + 20 = 5x - 10 - 3x
12x - 5x + 3x = -10 - 20
simplify
10x = - 30
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