Question

lesson 6: strategic solving
solve the equation:
$x - 5(x - 1) = x - (2x - 3)$

Explanation:

Step1: Expand both sides

$x - 5x + 5 = x - 2x + 3$

Step2: Combine like terms

$-4x + 5 = -x + 3$

Step3: Isolate x terms

$-4x + x = 3 - 5$

Step4: Simplify both sides

$-3x = -2$

Step5: Solve for x

$x = \frac{-2}{-3} = \frac{2}{3}$

Answer:

$x = \frac{2}{3}$