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Solve the equation: 9x + 1 + 3(2x + 1) = 36

April 3, 2026Mathematics

ScanSolve AI Answer

Answer

x = \frac{32}{15}

4 steps

Here's how to solve the equation:

The equation is:

9x + 1 + 3(2x + 1) = 36

Distribute the 3 into the parentheses.
$9x + 1 + (3 \times 2x) + (3 \times 1) = 36$ $9x + 1 + 6x + 3 = 36$
Combine like terms on the left side of the equation.
Combine the $x$ terms ( $9x$ and $6x$ ):
$9x + 6x = 15x$
Combine the constant terms (1 and 3):
$1 + 3 = 4$
So the equation becomes:
$15x + 4 = 36$
Subtract 4 from both sides of the equation to isolate the term with $x$ .
$15x + 4 - 4 = 36 - 4$ $15x = 32$
Divide both sides by 15 to solve for $x$ .
$\frac{15x}{15} = \frac{32}{15}$ $x = \frac{32}{15}$