Question

1. 5 - 5x = x - 2(2 + x)

Explanation:

Step1: Expand the right-hand side

$5 - 5x = x - 4 - 2x$

Step2: Simplify like terms on RHS

$5 - 5x = -x - 4$

Step3: Move x terms to left side

$5 - 5x + x = -4$

Step4: Simplify left side terms

$5 - 4x = -4$

Step5: Move constant to right side

$-4x = -4 - 5$

Step6: Calculate right side value

$-4x = -9$

Step7: Solve for x

$x = \frac{-9}{-4} = \frac{9}{4}$

Answer:

$x = \frac{9}{4}$