2x-1 ÷3 - 3 -x÷2 = x÷ 4

May 1, 2026Mathematics

ScanSolve AI Answer

May 1, 2026

Answer

x = -40

Right Born, let's go. Step 1: Write the equation. $\frac{2x-1}{3} - 3 - \frac{x}{2} = \frac{x}{4}$ Step 2: Find a common denominator for all terms. The least common multiple of 3, 2, and 4 is 12. Multiply every term by 12. $12 \left( \frac{2x-1}{3} \right) - 12(3) - 12 \left( \frac{x}{2} \right) = 12 \left( \frac{x}{4} \right)$ Step 3: Simplify the equation. $4(2x-1) - 36 - 6x = 3x$ Step 4: Distribute and combine like terms on the left side. $8x - 4 - 36 - 6x = 3x$ $(8x - 6x) + (-4 - 36) = 3x$ $2x - 40 = 3x$ Step 5: Isolate the variable x by subtracting 2x from both sides. $-40 = 3x - 2x$ $-40 = x$ Step 6: State the final answer. $x = -40$

The solution is x = -40.

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Quick Answer

Right Born, let's go. Step 1: Write the equation.

Asked on May 1, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on May 1, 2026

Right Born, let's go. Step 1: Write the equation. (2x-1)/(3) - 3 - (x)/(2) = (x)/(4) Step 2: Find a common denominator for all terms. The least common multiple of 3, 2, and 4 is 12. Multiply every term by 12. 12 ( (2x-1)/(3) ) - 12(3) - 12 ( (x)/(2) ) = 12 ( (x)/(4) ) Step 3: Simplify the equation. 4(2x-1) - 36 - 6x = 3x Step 4: Distribute and combine like terms on the left side. 8x - 4 - 36 - 6x = 3x (8x - 6x) + (-4 - 36) = 3x 2x - 40 = 3x Step 5: Isolate the variable x by subtracting 2x from both sides. -40 = 3x - 2x -40 = x Step 6: State the final answer. x = -40 The solution is x = -40. Got more? Send 'em 📸