Question

Solve for x.
−1/2(x+2)+1 1/2x=3

x=1
x=2
x=4
x=5

Answer 1

−1/2(x+2)+1 1/2x=3
Multiply the number outside of the parenthesis with the numbers inside the parenthesis
-1/2x - 1 + 1 1/2x=3
Add 1 to both sides
-1/2 + 1 1/2x=4
Combine the coefficients.
Final Answer: x=4

Answer 2

The solution of given equation 1/2(x+2)+1 1/2x=3 is x = 4

What is the solution of an equation?

"The solution of an equation is the set of all values that makes given equation true."

Given equation:

−1/2(x+2) + 1 1/2x = 3

We need to find the solution of given equation.

⇒ (-1/2(x) + (-1/2) × 2) + 3/2(x)=3             ...................(since 1 1/2 = 3/2)

⇒ -1/2x - 1 + 3/2x = 3                            ................... (simplify −1/2(x+2))

⇒ -1/2(x) + 3/2(x) = 4                              ..................(add 1 to each side)

⇒ (-1/2 + 3/2)x = 4

⇒ (2/2)x = 4

⇒ x = 4

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