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Question
here is an equation.
2x - 1 = 5
draw a graph to help solve the equation. then find the solution to the equation.
solution: x = \square
Step1: Isolate the variable term
To solve \(2x - 1 = 5\), first add 1 to both sides of the equation. This is based on the addition property of equality, which states that if \(a = b\), then \(a + c = b + c\).
$$
2x - 1 + 1 = 5 + 1
$$
Simplifying both sides, we get:
$$
2x = 6
$$
Step2: Solve for x
Next, divide both sides of the equation by 2. This is based on the division property of equality, which states that if \(a = b\) and \(c
eq0\), then \(\frac{a}{c}=\frac{b}{c}\).
$$
\frac{2x}{2}=\frac{6}{2}
$$
Simplifying both sides, we find:
$$
x = 3
$$
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\(x = 3\)