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\( x = -12 \)
Solución
To solve the equation:
\[
\frac{1}{2}(x - 4) = -8
\]
**Step 1: Eliminate the Fraction**
Multiply both sides of the equation by 2 to eliminate the \(\frac{1}{2}\) coefficient:
\[
2 \times \frac{1}{2}(x - 4) = 2 \times (-8)
\]
\[
x - 4 = -16
\]
**Step 2: Isolate \(x\)**
Add 4 to both sides to solve for \(x\):
\[
x - 4 + 4 = -16 + 4
\]
\[
x = -12
\]
**Solution:** \(x = -12\)
Revisado y aprobado por el equipo de tutoría de UpStudy
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Simplifique esta solución Mind Expander
To solve the equation \( \frac{1}{2}(x-4)=-8 \), start by eliminating the fraction. Multiply both sides by 2, giving \( x - 4 = -16 \). Now, add 4 to both sides to isolate \( x \): \( x = -16 + 4 \). This simplifies to \( x = -12 \). So, there you have it – \( x = -12 \)! Now, let’s check our work: Substitute \( -12 \) back into the original equation. \( \frac{1}{2}(-12-4) = \frac{1}{2}(-16) = -8 \). The left side equals the right side, confirming our solution is correct!
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