Questions: -7+6(2x-4)=17

Transcript text: $-7+6(2 x-4)=17$

Solution

Step 1: Distribute the Terms

Start with the original equation: \[ -7 + 6(2x - 4) = 17 \] Distribute $6$ into the parentheses: \[ -7 + 12x - 24 = 17 \]

Step 2: Combine Like Terms

Combine the constant terms on the left side: \[ 12x - 31 = 17 \]

Step 3: Isolate the Variable

Add $31$ to both sides to isolate the term with $x$: \[ 12x = 48 \] Now, divide both sides by $12$: \[ x = 4 \]

$\boxed{x = 4}$

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