(x-10)+(4x-10)=90

2 min read Jun 17, 2024
(x-10)+(4x-10)=90

Solving the Equation: (x-10) + (4x-10) = 90

This article will guide you through the steps to solve the equation (x-10) + (4x-10) = 90.

Step 1: Simplify the Equation

First, we need to combine like terms on the left side of the equation.

  • x + 4x = 5x
  • -10 - 10 = -20

Now the equation is: 5x - 20 = 90

Step 2: Isolate the Variable

To get 'x' by itself, we need to get rid of the '-20'. We can do this by adding 20 to both sides of the equation.

  • 5x - 20 + 20 = 90 + 20
  • 5x = 110

Step 3: Solve for x

Finally, we need to isolate 'x' by dividing both sides of the equation by 5.

  • 5x / 5 = 110 / 5
  • x = 22

Solution

Therefore, the solution to the equation (x-10) + (4x-10) = 90 is x = 22.

Verification

We can verify our solution by plugging 'x = 22' back into the original equation.

  • (22 - 10) + (4 * 22 - 10) = 90
  • 12 + 78 = 90
  • 90 = 90

This confirms that our solution is correct.

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