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(x)+(x+3)+(x-2)+3(x+3)-1=87 Simplified

2 min read Jun 16, 2024
(x)+(x+3)+(x-2)+3(x+3)-1=87 Simplified

Solving the Equation: (x) + (x+3) + (x-2) + 3(x+3) - 1 = 87

This article will guide you through the process of solving the equation (x) + (x+3) + (x-2) + 3(x+3) - 1 = 87.

Step 1: Simplify the Equation

First, we need to simplify the equation by combining like terms.

  • Distribute the 3: 3(x+3) = 3x + 9
  • Combine x terms: x + x + x + 3x = 6x
  • Combine constant terms: 3 - 2 + 9 - 1 = 9

The simplified equation is now: 6x + 9 = 87

Step 2: Isolate the Variable

To isolate the variable 'x', we need to get rid of the constant term (+9). We can do this by subtracting 9 from both sides of the equation:

  • 6x + 9 - 9 = 87 - 9
  • 6x = 78

Step 3: Solve for x

Now, we have 6x = 78. To find the value of x, we need to divide both sides of the equation by 6:

  • 6x / 6 = 78 / 6
  • x = 13

Solution

Therefore, the solution to the equation (x) + (x+3) + (x-2) + 3(x+3) - 1 = 87 is x = 13.

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