Page Marshall
08/22/2024 · Junior High School
14) \( -4 \cdot(-x+10)=(4 x+60): 2 \) 16) \( 5 x+4+3 x+4=8+4 x \)
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Step-by-step Solution
Vamos a resolver las ecuaciones una por una.
**14)** \( -4 \cdot(-x+10)=(4 x+60): 2 \)
Primero, simplificamos ambos lados de la ecuación.
El lado izquierdo:
\[
-4 \cdot (-x + 10) = 4x - 40
\]
El lado derecho:
\[
(4x + 60) : 2 = 2x + 30
\]
Ahora, igualamos ambos lados:
\[
4x - 40 = 2x + 30
\]
Restamos \(2x\) de ambos lados:
\[
4x - 2x - 40 = 30
\]
\[
2x - 40 = 30
\]
Sumamos 40 a ambos lados:
\[
2x = 70
\]
Dividimos entre 2:
\[
x = 35
\]
**16)** \( 5x + 4 + 3x + 4 = 8 + 4x \)
Primero, combinamos términos semejantes en el lado izquierdo:
\[
(5x + 3x) + (4 + 4) = 8 + 4x
\]
\[
8x + 8 = 8 + 4x
\]
Restamos \(4x\) de ambos lados:
\[
8x - 4x + 8 = 8
\]
\[
4x + 8 = 8
\]
Restamos 8 de ambos lados:
\[
4x = 0
\]
Dividimos entre 4:
\[
x = 0
\]
**Resultados finales:**
- Para la ecuación 14, \(x = 35\).
- Para la ecuación 16, \(x = 0\).
Quick Answer
14) \(x = 35\)
16) \(x = 0\)
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