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(3-2x)+3(1-4x)-4(1-5x)=2(1-3x)

less than a minute read Jun 16, 2024
(3-2x)+3(1-4x)-4(1-5x)=2(1-3x)

Solving the Equation: (3-2x)+3(1-4x)-4(1-5x)=2(1-3x)

This article will guide you through the process of solving the linear equation: (3-2x)+3(1-4x)-4(1-5x)=2(1-3x).

Step 1: Distribute

Begin by distributing the constants outside the parentheses:

  • 3 - 2x + 3 - 12x - 4 + 20x = 2 - 6x

Step 2: Combine Like Terms

Combine the x terms and the constant terms on each side of the equation:

  • 6x + 2 = 2 - 6x

Step 3: Isolate the x terms

Add 6x to both sides of the equation:

  • 12x + 2 = 2

Step 4: Isolate the x term

Subtract 2 from both sides of the equation:

  • 12x = 0

Step 5: Solve for x

Divide both sides by 12:

  • x = 0

Solution

Therefore, the solution to the equation (3-2x)+3(1-4x)-4(1-5x)=2(1-3x) is x = 0.

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