Evaluate x+9=18+-2x

$x + 9 = 18 + - 2 x$

Step 1

Replace all occurrences of $+$ $-$ with a single $-$ . A plus sign followed by a minus sign has the same mathematical meaning as a single minus sign because $1 \cdot - 1 = - 1$

$x + 9 = 18 - 2 x$

Step 2

Move all terms containing $x$ to the left side of the equation.

Add $2 x$ to both sides of the equation.

$x + 9 + 2 x = 18$

Add $x$ and $2 x$ .

$3 x + 9 = 18$

Step 3

Move all terms not containing $x$ to the right side of the equation.

Subtract $9$ from both sides of the equation.

$3 x = 18 - 9$

Subtract $9$ from $18$ .

$3 x = 9$

Step 4

Divide each term in $3 x = 9$ by $3$ and simplify.

Divide each term in $3 x = 9$ by $3$ .

$\frac{3 x}{3} = \frac{9}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 x}{3} = \frac{9}{3}$

Divide $x$ by $1$ .

$x = \frac{9}{3}$

Simplify the right side.

Divide $9$ by $3$ .

$x = 3$

Evaluate x+9=18+-2x

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