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10. solve for x. show your work $5x - x + 4 = 2(2x + 2)$

Question

  1. solve for x. show your work

$5x - x + 4 = 2(2x + 2)$

Explanation:

Step1: Simplify left side terms

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

Step2: Expand right side expression

$2(2x + 2) = 4x + 4$

Step3: Compare both sides

$4x + 4 = 4x + 4$
Subtract $4x + 4$ from both sides:
$4x + 4 - (4x + 4) = 4x + 4 - (4x + 4)$
$0 = 0$

Answer:

All real numbers are solutions (the equation is an identity, true for every value of $x$).