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\( x = 4 \)
Solución
To solve the linear equation:
\[
-(7 - 4x) = 9
\]
**Step 1: Distribute the negative sign**
\[
-7 + 4x = 9
\]
**Step 2: Add 7 to both sides to isolate the term with \( x \)**
\[
4x = 9 + 7
\]
\[
4x = 16
\]
**Step 3: Divide both sides by 4 to solve for \( x \)**
\[
x = \frac{16}{4}
\]
\[
x = 4
\]
**Solution:** \( x = 4 \)
Revisado y aprobado por el equipo de tutoría de UpStudy
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Simplifique esta solución The Deep Dive
To solve the equation \( -(7 - 4x) = 9 \), we first distribute the negative sign: \[ -7 + 4x = 9 \] Next, we isolate the \(4x\) term by adding \(7\) to both sides: \[ 4x = 9 + 7 \] This simplifies to: \[ 4x = 16 \] Now, divide both sides by \(4\): \[ x = \frac{16}{4} \] So, we find: \[ x = 4 \] The solution to the equation is \(x = 4\).
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