Question

question
solve the following equation for ( x ). express your answer in form.
( 8 - 2(x - 1) = \frac{1}{2}(-4x + 10) + 4 )
answer attempt 1 out of 2
the equation has (\begin{cases}\text{no solution}\\text{infinitely many solutions}\\text{one solution}end{cases}).
submit answer

Explanation:

Step1: Expand both sides

Left: $8 - 2x + 2 = 10 - 2x$
Right: $\frac{1}{2}(-4x) + \frac{1}{2}(10) + 4 = -2x + 5 + 4 = -2x + 9$

Step2: Simplify the equation

$10 - 2x = -2x + 9$

Step3: Isolate variable terms

Add $2x$ to both sides: $10 = 9$

Answer:

The equation has no solution