Question

Evaluate the expression for the given value of x. $$-11+(-2)+11+x ; x=-10$$

Short answer

The evaluated expression is \(-12\).

Step-by-step solution

Substitute the given value into the equation

You are given \(x = -10\). Substitute this value into the equation. This results in \( -11 + (-2) + 11 - 10 \) because we replace \(x\) with \(-10\).

Simplify the Equation

Perform the arithmetic operations within the equation. Remember the following basic mathematics rules: for any numbers \(x\) and \(y\), \(x - (-y) = x + y\) and \(-x - y = -(x + y)\). First, perform the addition: \(-11 + (-2) = -13\), then \(-13 + 11 = -2\), and finally, \(-2 - 10 = -12\). Therefore, the final result will be \(-12\).