Solve for x 20x-14-11x=8-6x+2

$20 x - 14 - 11 x = 8 - 6 x + 2$

Step 1

Subtract $11 x$ from $20 x$ .

$9 x - 14 = 8 - 6 x + 2$

Step 2

Add $8$ and $2$ .

$9 x - 14 = - 6 x + 10$

Step 3

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

Add $6 x$ to both sides of the equation.

$9 x - 14 + 6 x = 10$

Add $9 x$ and $6 x$ .

$15 x - 14 = 10$

Step 4

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

Add $14$ to both sides of the equation.

$15 x = 10 + 14$

Add $10$ and $14$ .

$15 x = 24$

Step 5

Divide each term in $15 x = 24$ by $15$ and simplify.

Divide each term in $15 x = 24$ by $15$ .

$\frac{15 x}{15} = \frac{24}{15}$

Simplify the left side.

Cancel the common factor of $15$ .

Cancel the common factor.

$\frac{15 x}{15} = \frac{24}{15}$

Divide $x$ by $1$ .

$x = \frac{24}{15}$

Simplify the right side.

Cancel the common factor of $24$ and $15$ .

Factor $3$ out of $24$ .

$x = \frac{3 (8)}{15}$

Cancel the common factors.

Factor $3$ out of $15$ .

$x = \frac{3 \cdot 8}{3 \cdot 5}$

Cancel the common factor.

$x = \frac{3 \cdot 8}{3 \cdot 5}$

Rewrite the expression.

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

Step 6

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$x = 1.6$

Mixed Number Form:

$x = 1 \frac{3}{5}$

Solve for x 20x-14-11x=8-6x+2

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