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5(2x - 3) - 4) = 3x + 11

Question

5(2x - 3) - 4) = 3x + 11

Explanation:

Step1: Fix parentheses, expand left side

$5(2x - 3) - 4 = 3x + 11$
$10x - 15 - 4 = 3x + 11$

Step2: Simplify constants on left

$10x - 19 = 3x + 11$

Step3: Isolate x terms (subtract 3x)

$10x - 3x - 19 = 11$
$7x - 19 = 11$

Step4: Isolate constant (add 19)

$7x = 11 + 19$
$7x = 30$

Step5: Solve for x (divide by 7)

$x = \frac{30}{7}$

Answer:

$x = \frac{30}{7}$