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Which equation is equivalent to the given equation?

[tex]\[ -8(x + 13) = 2(x - 7) + 4x \][/tex]

A. [tex]\(-8x - 104 = 6x - 14\)[/tex]

B. [tex]\(-8x + 13 = -2x + 14\)[/tex]

C. [tex]\(-8x + 13 = 6x - 7\)[/tex]

D. [tex]\(-8x - 104 = -2x + 14\)[/tex]

Sagot :

GinnyAnsweridn
Let's simplify the given equation step by step to find the equivalent equation.

The given equation is:
[tex]\[ -8(x + 13) = 2(x - 7) + 4x \][/tex]

1. First, distribute the constants inside the parentheses:

[tex]\[ -8(x + 13) = 2(x - 7) + 4x \][/tex]
[tex]\[ -8x - 104 = 2x - 14 + 4x \][/tex]

2. Next, combine like terms on the right side of the equation:

[tex]\[ -8x - 104 = 6x - 14 \][/tex]

Therefore, the equation that is equivalent to the given equation is:
[tex]\[ -8x - 104 = 6x - 14 \][/tex]

So, the correct answer is:
[tex]\[ -8 x-104=6 x-14 \][/tex]
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