Question

1. solve the equation 0.35(x + 4) = 0.25(x - 6).

get 10. let x represent

Explanation:

Step1: Expand both sides

Usando la propiedad distributiva \( a(b + c)=ab+ac \), expandimos:
\( 0.35x + 0.35\times4 = 0.25x - 0.25\times6 \)
\( 0.35x + 1.4 = 0.25x - 1.5 \)

Step2: Move x terms to left, constants to right

Restamos \( 0.25x \) de ambos lados y restamos \( 1.4 \) de ambos lados:
\( 0.35x - 0.25x = -1.5 - 1.4 \)

Step3: Simplify both sides

Calculamos:
\( 0.1x = -2.9 \)

Step4: Solve for x

Dividimos ambos lados por \( 0.1 \):
\( x = \frac{-2.9}{0.1} = -29 \)

Answer:

\( x = -29 \)