Question

What equation makes this true -3(x-4)+x =2x-12

Answer 1

Answer:

$x = 6$

Step-by-step explanation:

Step 1:  Distribute

$-3(x - 4) + x = 2x - 12$

$(-3 * x) + (-3 * -4) + x = 2x - 12$

$(-3x) + (12) + x = 2x - 12$

Step 2:  Combine like terms

$(-3x) + (12) + x = 2x - 12$

$(-3x + x) + 12 = 2x - 12$

$(-2x) + 12 = 2x - 12$

Step 3:  Add 12 to both sides

$(-2x) + 12 + 12 = 2x - 12 + 12$

$(-2x) + 24 = 2x$

Step 4:  Add 2x to both sides

$(-2x + 2x) + 24 = 2x + 2x$

$24 = 4x$

Step 5:  Divide both sides by 4

$(24 / 4) = (4x / 4)$

$(6) = x$

Answer:  $x = 6$