Solve for x 2.1(2.3+2.1x)=11.65+x

$2.1 (2.3 + 2.1 x) = 11.65 + x$

Step 1

Simplify $2.1 (2.3 + 2.1 x)$ .

Rewrite.

$0 + 0 + 2.1 (2.3 + 2.1 x) = 11.65 + x$

Simplify by adding zeros.

$2.1 (2.3 + 2.1 x) = 11.65 + x$

Apply the distributive property.

$2.1 \cdot 2.3 + 2.1 (2.1 x) = 11.65 + x$

Multiply.

Multiply $2.1$ by $2.3$ .

$4.83 + 2.1 (2.1 x) = 11.65 + x$

Multiply $2.1$ by $2.1$ .

$4.83 + 4.41 x = 11.65 + x$

Step 2

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

Subtract $x$ from both sides of the equation.

$4.83 + 4.41 x - x = 11.65$

Subtract $x$ from $4.41 x$ .

$4.83 + 3.41 x = 11.65$

Step 3

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

Subtract $4.83$ from both sides of the equation.

$3.41 x = 11.65 - 4.83$

Subtract $4.83$ from $11.65$ .

$3.41 x = 6.82$

Step 4

Divide each term in $3.41 x = 6.82$ by $3.41$ and simplify.

Divide each term in $3.41 x = 6.82$ by $3.41$ .

$\frac{3.41 x}{3.41} = \frac{6.82}{3.41}$

Simplify the left side.

Cancel the common factor of $3.41$ .

Cancel the common factor.

$\frac{3.41 x}{3.41} = \frac{6.82}{3.41}$

Divide $x$ by $1$ .

$x = \frac{6.82}{3.41}$

Simplify the right side.

Divide $6.82$ by $3.41$ .

$x = 2$