Jasonbradley
Home

(3+6x)-2(x+1)+5=x+6

2 min read Jun 16, 2024
(3+6x)-2(x+1)+5=x+6

Solving the Equation (3 + 6x) - 2(x + 1) + 5 = x + 6

This article will guide you through the steps of solving the equation (3 + 6x) - 2(x + 1) + 5 = x + 6.

Step 1: Simplify Both Sides of the Equation

First, we need to simplify both sides of the equation by distributing and combining like terms.

  • Left Side:
    • Distribute the -2: (3 + 6x) - 2x - 2 + 5
    • Combine like terms: 6x - 2x + 3 - 2 + 5 = 4x + 6
  • Right Side:
    • The right side remains the same: x + 6

Now our equation is simplified to: 4x + 6 = x + 6

Step 2: Isolate the Variable

To solve for x, we need to isolate it on one side of the equation. We can do this by subtracting x from both sides and subtracting 6 from both sides.

  • Subtract x from both sides: 4x - x + 6 = x - x + 6
  • Simplify: 3x + 6 = 6
  • Subtract 6 from both sides: 3x + 6 - 6 = 6 - 6
  • Simplify: 3x = 0

Step 3: Solve for x

Now, we have 3x = 0. To solve for x, we divide both sides by 3.

  • Divide both sides by 3: 3x / 3 = 0 / 3
  • Simplify: x = 0

Solution

Therefore, the solution to the equation (3 + 6x) - 2(x + 1) + 5 = x + 6 is x = 0.

Related Post

Featured Posts