Solve for x 4(3x+1)-2(x-2)=13

$4 (3 x + 1) - 2 (x - 2) = 13$

Simplify $4 (3 x + 1) - 2 (x - 2)$ .

Simplify each term.

Apply the distributive property.

$4 (3 x) + 4 \cdot 1 - 2 (x - 2) = 13$

Multiply $3$ by $4$ .

$12 x + 4 \cdot 1 - 2 (x - 2) = 13$

Multiply $4$ by $1$ .

$12 x + 4 - 2 (x - 2) = 13$

Apply the distributive property.

$12 x + 4 - 2 x - 2 \cdot - 2 = 13$

Multiply $- 2$ by $- 2$ .

$12 x + 4 - 2 x + 4 = 13$

Simplify by adding terms.

Subtract $2 x$ from $12 x$ .

$10 x + 4 + 4 = 13$

Add $4$ and $4$ .

$10 x + 8 = 13$

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

Subtract $8$ from both sides of the equation.

$10 x = 13 - 8$

Subtract $8$ from $13$ .

$10 x = 5$

Divide each term in $10 x = 5$ by $10$ and simplify.

Divide each term in $10 x = 5$ by $10$ .

$\frac{10 x}{10} = \frac{5}{10}$

Simplify the left side.

Cancel the common factor of $10$ .

Cancel the common factor.

$\frac{10 x}{10} = \frac{5}{10}$

Divide $x$ by $1$ .

$x = \frac{5}{10}$

Simplify the right side.

Cancel the common factor of $5$ and $10$ .

Factor $5$ out of $5$ .

$x = \frac{5 (1)}{10}$

Cancel the common factors.

Factor $5$ out of $10$ .

$x = \frac{5 \cdot 1}{5 \cdot 2}$

Cancel the common factor.

$x = \frac{5 \cdot 1}{5 \cdot 2}$

Rewrite the expression.

$x = \frac{1}{2}$

The result can be shown in multiple forms.

Exact Form:

$x = \frac{1}{2}$

Decimal Form:

$x = 0.5$

Solve for x 4(3x+1)-2(x-2)=13

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