Solve for x 2x+15=43-5x

$2 x + 15 = 43 - 5 x$

Step 1

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

Add $5 x$ to both sides of the equation.

$2 x + 15 + 5 x = 43$

Add $2 x$ and $5 x$ .

$7 x + 15 = 43$

Step 2

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

Subtract $15$ from both sides of the equation.

$7 x = 43 - 15$

Subtract $15$ from $43$ .

$7 x = 28$

Step 3

Divide each term in $7 x = 28$ by $7$ and simplify.

Divide each term in $7 x = 28$ by $7$ .

$\frac{7 x}{7} = \frac{28}{7}$

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 x}{7} = \frac{28}{7}$

Divide $x$ by $1$ .

$x = \frac{28}{7}$

Simplify the right side.

Divide $28$ by $7$ .

$x = 4$