Solve for x 3(2x-5)+2x+3=1

$3 (2 x - 5) + 2 x + 3 = 1$

Simplify $3 (2 x - 5) + 2 x + 3$ .

Simplify each term.

Apply the distributive property.

$3 (2 x) + 3 \cdot - 5 + 2 x + 3 = 1$

Multiply $2$ by $3$ .

$6 x + 3 \cdot - 5 + 2 x + 3 = 1$

Multiply $3$ by $- 5$ .

$6 x - 15 + 2 x + 3 = 1$

Simplify by adding terms.

Add $6 x$ and $2 x$ .

$8 x - 15 + 3 = 1$

Add $- 15$ and $3$ .

$8 x - 12 = 1$

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

Add $12$ to both sides of the equation.

$8 x = 1 + 12$

Add $1$ and $12$ .

$8 x = 13$

Divide each term in $8 x = 13$ by $8$ and simplify.

Divide each term in $8 x = 13$ by $8$ .

$\frac{8 x}{8} = \frac{13}{8}$

Simplify the left side.

Cancel the common factor of $8$ .

Cancel the common factor.

$\frac{8 x}{8} = \frac{13}{8}$

Divide $x$ by $1$ .

$x = \frac{13}{8}$

The result can be shown in multiple forms.

Exact Form:

$x = \frac{13}{8}$

Decimal Form:

$x = 1.625$

Mixed Number Form:

$x = 1 \frac{5}{8}$