Pregunta
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\( x = -1.5 \)
Solución
To solve the equation:
\[
7(5x + 9) = 18 - (x + 9)
\]
**Step 1: Expand both sides.**
\[
7 \times 5x + 7 \times 9 = 18 - x - 9
\]
\[
35x + 63 = 9 - x
\]
**Step 2: Get all terms containing \( x \) on one side and constants on the other.**
Add \( x \) to both sides:
\[
35x + x + 63 = 9
\]
\[
36x + 63 = 9
\]
Subtract 63 from both sides:
\[
36x = 9 - 63
\]
\[
36x = -54
\]
**Step 3: Solve for \( x \).**
Divide both sides by 36:
\[
x = \frac{-54}{36} = \frac{-3}{2} = -1.5
\]
**Answer:**
\( x = -\dfrac{3}{2} \)
Revisado y aprobado por el equipo de tutoría de UpStudy
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Simplifique esta solución Mind Expander
To solve the equation \( 7(5x + 9) = 18 - (x + 9) \), we start by distributing on both sides. Left side: \( 7(5x + 9) = 35x + 63 \) Right side: \( 18 - (x + 9) = 18 - x - 9 = 9 - x \) Now, rewrite the equation with these results: \( 35x + 63 = 9 - x \) Next, we add \( x \) to both sides to combine like terms: \( 35x + x + 63 = 9 \) \( 36x + 63 = 9 \) Now, subtract \( 63 \) from both sides: \( 36x = 9 - 63 \) \( 36x = -54 \) Now, divide both sides by \( 36 \): \( x = -\frac{54}{36} \) Simplifying the fraction: \( x = -\frac{3}{2} \) So the solution is: \( x = -1.5 \)
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