Solve for x x+3=(10-x)/3

$x + 3 = \frac{10 - x}{3}$

Step 1

Multiply both sides by $3$ .

$(x + 3) \cdot 3 = \frac{10 - x}{3} \cdot 3$

Step 2

Simplify.

Simplify the left side.

Simplify $(x + 3) \cdot 3$ .

Apply the distributive property.

$x \cdot 3 + 3 \cdot 3 = \frac{10 - x}{3} \cdot 3$

Simplify the expression.

Move $3$ to the left of $x$ .

$3 \cdot x + 3 \cdot 3 = \frac{10 - x}{3} \cdot 3$

Multiply $3$ by $3$ .

$3 x + 9 = \frac{10 - x}{3} \cdot 3$

Simplify the right side.

Simplify $\frac{10 - x}{3} \cdot 3$ .

Cancel the common factor of $3$ .

Cancel the common factor.

$3 x + 9 = \frac{10 - x}{3} \cdot 3$

Rewrite the expression.

$3 x + 9 = 10 - x$

Reorder $10$ and $- x$ .

$3 x + 9 = - x + 10$

Step 3

Solve for $x$ .

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

Add $x$ to both sides of the equation.

$3 x + 9 + x = 10$

Add $3 x$ and $x$ .

$4 x + 9 = 10$

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

Subtract $9$ from both sides of the equation.

$4 x = 10 - 9$

Subtract $9$ from $10$ .

$4 x = 1$

Divide each term in $4 x = 1$ by $4$ and simplify.

Divide each term in $4 x = 1$ by $4$ .

$\frac{4 x}{4} = \frac{1}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 x}{4} = \frac{1}{4}$

Divide $x$ by $1$ .

$x = \frac{1}{4}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \frac{1}{4}$

Decimal Form:

$x = 0.25$

Solve for x x+3=(10-x)/3

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