Question

is an equation $2x + 9 = -15$. select all the equations that have the same solution as $2x + 9 = -15$
a) $-36 = 12 - 4x$
b) $85 = 2x + 109$
c) $4x + 10 = -38$
d) $24 + 2x = 0$
e) $-2x = -24$

Explanation:

Step1: Solve original equation

Subtract 9 from both sides:
$2x = -15 - 9$
$2x = -24$
Divide by 2:
$x = \frac{-24}{2} = -12$

Step2: Check Equation A

Rearrange to solve for $x$:
$-36 - 12 = -4x$
$-48 = -4x$
$x = \frac{-48}{-4} = 12$

Step3: Check Equation B

Rearrange to solve for $x$:
$2x = 85 - 109$
$2x = -24$
$x = \frac{-24}{2} = -12$

Step4: Check Equation C

Rearrange to solve for $x$:
$4x = -38 - 10$
$4x = -48$
$x = \frac{-48}{4} = -12$

Step5: Check Equation D

Rearrange to solve for $x$:
$2x = 0 - 24$
$2x = -24$
$x = \frac{-24}{2} = -12$

Step6: Check Equation E

Solve for $x$:
$x = \frac{-24}{-2} = 12$

Answer:

B) $85 = 2x + 109$
C) $4x + 10 = -38$
D) $24 + 2x = 0$