Question

question 7 of 26 step 1 of 1
determine if the following equation is a conditional equation, an identity, or a contradiction.
8(x - 5) - 3x = -4(x + 10) + 9x
answer 2 points
conditional
identity
contradiction

Explanation:

Step1: Expand both sides

Left: $8(x-5)-3x = 8x - 40 - 3x$
Right: $-4(x+10)+9x = -4x - 40 + 9x$

Step2: Simplify both sides

Left: $8x - 40 - 3x = 5x - 40$
Right: $-4x - 40 + 9x = 5x - 40$

Step3: Compare simplified equations

Both sides are identical for all $x$.

Answer:

Identity