Solve for x (5x)/2+(x-2)/8=2

$\frac{5 x}{2} + \frac{x - 2}{8} = 2$

Simplify $\frac{5 x}{2} + \frac{x - 2}{8}$ .

To write $\frac{5 x}{2}$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{5 x}{2} \cdot \frac{4}{4} + \frac{x - 2}{8} = 2$

Write each expression with a common denominator of $8$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{5 x}{2}$ by $\frac{4}{4}$ .

$\frac{5 x \cdot 4}{2 \cdot 4} + \frac{x - 2}{8} = 2$

Multiply $2$ by $4$ .

$\frac{5 x \cdot 4}{8} + \frac{x - 2}{8} = 2$

Combine the numerators over the common denominator.

$\frac{5 x \cdot 4 + x - 2}{8} = 2$

Simplify the numerator.

Multiply $4$ by $5$ .

$\frac{20 x + x - 2}{8} = 2$

Add $20 x$ and $x$ .

$\frac{21 x - 2}{8} = 2$

Multiply both sides by $8$ .

$\frac{21 x - 2}{8} \cdot 8 = 2 \cdot 8$

Simplify.

Simplify the left side.

Cancel the common factor of $8$ .

Cancel the common factor.

$\frac{21 x - 2}{8} \cdot 8 = 2 \cdot 8$

Rewrite the expression.

$21 x - 2 = 2 \cdot 8$

Simplify the right side.

Multiply $2$ by $8$ .

$21 x - 2 = 16$

Solve for $x$ .

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

Add $2$ to both sides of the equation.

$21 x = 16 + 2$

Add $16$ and $2$ .

$21 x = 18$

Divide each term in $21 x = 18$ by $21$ and simplify.

Divide each term in $21 x = 18$ by $21$ .

$\frac{21 x}{21} = \frac{18}{21}$

Simplify the left side.

Cancel the common factor of $21$ .

Cancel the common factor.

$\frac{21 x}{21} = \frac{18}{21}$

Divide $x$ by $1$ .

$x = \frac{18}{21}$

Simplify the right side.

Cancel the common factor of $18$ and $21$ .

Factor $3$ out of $18$ .

$x = \frac{3 (6)}{21}$

Cancel the common factors.

Factor $3$ out of $21$ .

$x = \frac{3 \cdot 6}{3 \cdot 7}$

Cancel the common factor.

$x = \frac{3 \cdot 6}{3 \cdot 7}$

Rewrite the expression.

$x = \frac{6}{7}$

The result can be shown in multiple forms.

Exact Form:

$x = \frac{6}{7}$

Decimal Form:

$x = 0.\overline{857142}$

Solve for x (5x)/2+(x-2)/8=2

Related Questions

Support LCMGCF.com by disabling your adblocker.