(x+2)+2=10(x−2)+2x

Jasonbradley

2 min read

·

Jun 16, 2024

18

Share

Solving the Equation: (x+2)+2=10(x−2)+2x

This article will guide you through solving the equation (x+2)+2=10(x−2)+2x. We will use the principles of algebra to isolate the variable "x" and find its value.

Step 1: Simplify both sides of the equation.

• Left side: (x+2)+2 can be simplified to x+4
• Right side: 10(x−2)+2x can be expanded to 10x - 20 + 2x, which further simplifies to 12x - 20

Our equation now looks like this: x + 4 = 12x - 20

Step 2: Combine like terms.

• Subtract x from both sides: 4 = 11x - 20
• Add 20 to both sides: 24 = 11x

Step 3: Isolate x.

• Divide both sides by 11: x = 24/11

Solution

Therefore, the solution to the equation (x+2)+2=10(x−2)+2x is x = 24/11.

This can be verified by substituting the value of x back into the original equation and confirming that both sides are equal.