Answered

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What is the solution to this equation?

4(x - 8) + 10 = -10

A. x = 3
B. x = 5

Sagot :

GinnyAnswer
Let's solve the equation step by step:

[tex]\[ 4(x - 8) + 10 = -10 \][/tex]

1. Distribute the 4 inside the parenthesis:

[tex]\[ 4x - 32 + 10 = -10 \][/tex]

2. Combine like terms on the left-hand side:

[tex]\[ 4x - 22 = -10 \][/tex]

3. Isolate the term with the variable (4x) by adding 22 to both sides:

[tex]\[ 4x - 22 + 22 = -10 + 22 \][/tex]

[tex]\[ 4x = 12 \][/tex]

4. Solve for [tex]\( x \)[/tex] by dividing both sides by 4:

[tex]\[ x = \frac{12}{4} \][/tex]

[tex]\[ x = 3 \][/tex]

Thus, the solution to the equation [tex]\( 4(x - 8) + 10 = -10 \)[/tex] is [tex]\( x = 3 \)[/tex].

Therefore, the correct answer is:
A. [tex]\( x = 3 \)[/tex]
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