Question

what is x 10(1/2x+2)-5=3(x-6)+1

Answer 1

Answer:

$x = -16$

Step-by-step explanation:

Step 1:  Distribute

$10(1/2x + 2) - 5 = 3(x - 6) + 1$

$(10 * 1/2x) + (10 * 2) - 5 = (3 * x) + (3 * -6) + 1$

$5x + 20 - 5 = 3x - 18 + 1$

Step 2:  Combine like terms

$5x + (20 - 5) = 3x + (-18 + 1)$

$5x + 15 = 3x - 17$

Step 3:  Subtract 3x from both sides

$5x + 15 - 3x = 3x - 17 - 3x$

$2x + 15 = -17$

Step 4:  Subtract 15 from both sides

$2x + 15 - 15 = -17 - 15$

$2x = -32$

Step 5:  Divide both sides by 2

$2x / 2 = -32 / 2$

$x = -16$

Answer:  $x = -16$