Bright Brooks
09/17/2024 · Primary School
14) \( -4 \cdot(-x+10)=(4 x+60): 2 \)
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Tutor-Verified Answer
Step-by-step Solution
Para resolver la ecuación \( -4 \cdot(-x+10)=(4x+60):2 \), primero simplificamos ambos lados.
Empezamos con el lado izquierdo:
\[
-4 \cdot (-x + 10) = 4x - 40
\]
Ahora simplificamos el lado derecho:
\[
(4x + 60) : 2 = 2x + 30
\]
Ahora tenemos la ecuación:
\[
4x - 40 = 2x + 30
\]
Restamos \(2x\) de ambos lados:
\[
4x - 2x - 40 = 30
\]
Esto se simplifica a:
\[
2x - 40 = 30
\]
Ahora sumamos 40 a ambos lados:
\[
2x = 70
\]
Finalmente, dividimos entre 2:
\[
x = 35
\]
Por lo tanto, la solución de la ecuación es:
\[
\boxed{35}
\]
Quick Answer
La solución de la ecuación es \( x = 35 \).
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