Problem

Inicio: 29/06/2023 10:14 | Término: 30/06/2023 11:25
Com relação à equação $2 \cdot(x+5)-3 \cdot(5-x)=10$, resolvida no universo dos números racionais, é correto afirmar que

Answer

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Answer

\(\boxed{x = 3}\) is the solution to the equation \(2 \cdot(x+5)-3 \cdot(5-x)=10\) in the universe of rational numbers

Steps

Step 1 :Given the equation \(2 \cdot(x+5)-3 \cdot(5-x)=10\)

Step 2 :First, distribute the 2 and -3 into the parentheses to get \(2x + 10 - 15 + 3x = 10\)

Step 3 :Simplify the equation to get \(5x - 5 = 10\)

Step 4 :Add 5 to both sides of the equation to get \(5x = 15\)

Step 5 :Finally, divide both sides by 5 to solve for x, which gives us \(x = 3\)

Step 6 :\(\boxed{x = 3}\) is the solution to the equation \(2 \cdot(x+5)-3 \cdot(5-x)=10\) in the universe of rational numbers

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