To solve the equation (x – 14) + 11 = x – (x – 4), simplify each side step by step. Distribute the negative sign, combine like terms, isolate x, and solve for x. The value of x is 7.
Step-by-step explanation:
To solve the equation (x – 14) + 11 = x – (x – 4), you need to simplify each side step by step.
Distribute the negative sign in the second parenthesis: (x – 14) + 11 = x – x + 4.
Combine like terms on each side of the equation: x – 3 = 4.
Isolate x by subtracting 4 from both sides: x – 3 - 4 = 4 - 4.
Simplify both sides to find x: x – 7 = 0.
Finally, add 7 to both sides to solve for x: x = 7.
The value of x is 7.
The probable question can be: Karissa begins to solve the equation (x – 14) + 11 = x – (x – 4). Her work is correct and is shown below. (x – 14) + 11 = x – (x – 4) x – 7 + 11 = x – x + 4 x + 4 = –x + 4 When she subtracts 4 from both sides, x = –x results. What is the value of x ?