%2B3(1-4x)-4(1-5x)%3D2(1-3x).jpeg "(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.