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Solve the equation: 8x + 16 = 2(x+2) + 7

April 3, 2026Mathematics

ScanSolve AI Answer

Answer

-\frac{5}{6}

4 steps

Here's how to solve the equation:

The given equation is:

8x + 16 = 2(x+2) + 7

Distribute the 2 on the right side of the equation.
$8x + 16 = 2x + 2 \cdot 2 + 7$ $8x + 16 = 2x + 4 + 7$
Combine the constant terms on the right side.
$8x + 16 = 2x + 11$
Gather all terms with $x$ on one side and constant terms on the other side.
Subtract $2x$ from both sides:
$8x - 2x + 16 = 11$ $6x + 16 = 11$
Subtract 16 from both sides:
$6x = 11 - 16$ $6x = -5$
Isolate $x$ .
Divide both sides by 6:
$x = -\frac{5}{6}$
The final answer is $-\frac{5}{6}$ .