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Sagot :
Certainly! Let's solve the given equation step-by-step.
Given equation:
[tex]\[ \frac{2x - 1}{3} = 3 \][/tex]
Step 1: Eliminate the fraction by multiplying both sides of the equation by 3:
[tex]\[ 3 \times \frac{2x - 1}{3} = 3 \times 3 \][/tex]
This simplifies to:
[tex]\[ 2x - 1 = 9 \][/tex]
Step 2: Isolate the term containing [tex]\( x \)[/tex] by adding 1 to both sides of the equation:
[tex]\[ 2x - 1 + 1 = 9 + 1 \][/tex]
This simplifies to:
[tex]\[ 2x = 10 \][/tex]
Step 3: Solve for [tex]\( x \)[/tex] by dividing both sides by 2:
[tex]\[ \frac{2x}{2} = \frac{10}{2} \][/tex]
This simplifies to:
[tex]\[ x = 5 \][/tex]
So, the solution is:
[tex]\[ x = 5 \][/tex]
Given equation:
[tex]\[ \frac{2x - 1}{3} = 3 \][/tex]
Step 1: Eliminate the fraction by multiplying both sides of the equation by 3:
[tex]\[ 3 \times \frac{2x - 1}{3} = 3 \times 3 \][/tex]
This simplifies to:
[tex]\[ 2x - 1 = 9 \][/tex]
Step 2: Isolate the term containing [tex]\( x \)[/tex] by adding 1 to both sides of the equation:
[tex]\[ 2x - 1 + 1 = 9 + 1 \][/tex]
This simplifies to:
[tex]\[ 2x = 10 \][/tex]
Step 3: Solve for [tex]\( x \)[/tex] by dividing both sides by 2:
[tex]\[ \frac{2x}{2} = \frac{10}{2} \][/tex]
This simplifies to:
[tex]\[ x = 5 \][/tex]
So, the solution is:
[tex]\[ x = 5 \][/tex]
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