Question
Ciseshere factarise fully 1. \( 6 x+14=x+8 \)
Ask by Crawford Daniels. in South Africa
Feb 19,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( x = -1.2 \)
Solution
Solve the equation \( 6x+14=x+8 \).
Solve the equation by following steps:
- step0: Solve for \(x\):
\(6x+14=x+8\)
- step1: Move the expression to the left side:
\(6x-x=8-14\)
- step2: Add and subtract:
\(5x=8-14\)
- step3: Add and subtract:
\(5x=-6\)
- step4: Divide both sides:
\(\frac{5x}{5}=\frac{-6}{5}\)
- step5: Divide the numbers:
\(x=-\frac{6}{5}\)
The equation \(6x+14=x+8\) simplifies to \(x=-\frac{6}{5}\) or \(x=-1.2\).
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Simplify this solution Bonus Knowledge
To solve the equation \( 6x + 14 = x + 8 \), let's first rearrange and simplify it. Start by moving \( x \) to one side: \[ 6x - x + 14 = 8 \] This simplifies to: \[ 5x + 14 = 8 \] Next, isolate \( 5x \) by subtracting 14 from both sides: \[ 5x = 8 - 14 \] This gives us: \[ 5x = -6 \] Now, divide both sides by 5 to find \( x \): \[ x = -\frac{6}{5} \] So, the fully factored form isn't as applicable here since we directly solved for \( x \); thus, \( x = -\frac{6}{5} \) is your solution!
