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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