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Solve for x:

x(8 + 2) + 3 = 2(5 + x) + 5(x + 1) − 6

A −4
B −2
C 2
D 4
just give me the dang answer bot god stop being complicated

1 answer

To solve for \( x \) in the equation

\[ x(8 + 2) + 3 = 2(5 + x) + 5(x + 1) - 6, \]

let's simplify it step by step.

  1. Simplify both sides:

    • The left side: \[ x(8 + 2) + 3 = 10x + 3 \]

    • The right side: \[ 2(5 + x) + 5(x + 1) - 6 = 10 + 2x + 5x + 5 - 6 = 7x + 9. \]

So we have:

\[ 10x + 3 = 7x + 9. \]

  1. Move \( 7x \) to the left side:

\[ 10x - 7x + 3 = 9, \] which simplifies to:

\[ 3x + 3 = 9. \]

  1. Move \( 3 \) to the right side:

\[ 3x = 9 - 3, \] so,

\[ 3x = 6. \]

  1. Divide both sides by \( 3 \):

\[ x = 2. \]

The answer is \( C: 2 \).