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Question

7−3(1a+2)
=
3a−5

a
=

Answer 1

To solve the equation \( 7 - 3(1a + 2) = 3a - 5 \), let's first simplify both sides of the equation step by step.

Step 1: Distribute the \(-3\) on the left side

\[ 7 - 3(1a + 2) = 7 - 3a - 6 \] Simplifying gives: \[ 7 - 6 - 3a = 1 - 3a \]

Step 2: Rewrite the equation

Now, we rewrite the equation: \[ 1 - 3a = 3a - 5 \]

Step 3: Get all terms involving \(a\) on one side

Add \(3a\) to both sides: \[ 1 = 6a - 5 \]

Step 4: Isolate \(6a\)

Add \(5\) to both sides: \[ 1 + 5 = 6a \] \[ 6 = 6a \]

Step 5: Solve for \(a\)

Divide both sides by \(6\): \[ a = 1 \]

Thus, the solution is: \[ \boxed{1} \]