The problem is to solve the equation $-3x + 3(82) = 5$ for the variable $x$.

AlgebraLinear EquationsSolving EquationsVariable Isolation
2025/5/6

1. Problem Description

The problem is to solve the equation 3x+3(82)=5-3x + 3(82) = 5 for the variable xx.

2. Solution Steps

First, we need to simplify the equation by multiplying 3 by
8

2. $3 \times 82 = 246$

The equation becomes:
3x+246=5-3x + 246 = 5
Next, we subtract 246 from both sides of the equation to isolate the term with xx.
3x+246246=5246-3x + 246 - 246 = 5 - 246
3x=241-3x = -241
Finally, we divide both sides of the equation by -3 to solve for xx.
3x3=2413\frac{-3x}{-3} = \frac{-241}{-3}
x=2413x = \frac{241}{3}

3. Final Answer

x=2413x = \frac{241}{3}

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