Solve for x 4-5/2(1/10x)=1

$4 - \frac{5}{2} (\frac{1}{10} x) = 1$

Step 1

Simplify each term.

Cancel the common factor of $5$ .

Move the leading negative in $- \frac{5}{2}$ into the numerator.

$4 + \frac{- 5}{2} \cdot \frac{1}{10} \cdot x = 1$

Factor $5$ out of $- 5$ .

$4 + \frac{5 (- 1)}{2} \cdot \frac{1}{10} \cdot x = 1$

Factor $5$ out of $10$ .

$4 + \frac{5 \cdot - 1}{2} \cdot \frac{1}{5 \cdot 2} \cdot x = 1$

Cancel the common factor.

$4 + \frac{5 \cdot - 1}{2} \cdot \frac{1}{5 \cdot 2} \cdot x = 1$

Rewrite the expression.

$4 + \frac{- 1}{2} \cdot \frac{1}{2} \cdot x = 1$

Multiply $\frac{- 1}{2}$ by $\frac{1}{2}$ .

$4 + \frac{- 1}{2 \cdot 2} \cdot x = 1$

Multiply $2$ by $2$ .

$4 + \frac{- 1}{4} \cdot x = 1$

Move the negative in front of the fraction.

$4 - \frac{1}{4} \cdot x = 1$

Combine $x$ and $\frac{1}{4}$ .

$4 - \frac{x}{4} = 1$

Step 2

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

Subtract $4$ from both sides of the equation.

$- \frac{x}{4} = 1 - 4$

Subtract $4$ from $1$ .

$- \frac{x}{4} = - 3$

Step 3

Multiply both sides of the equation by $- 4$ .

$- 4 (- \frac{x}{4}) = - 4 \cdot - 3$

Step 4

Simplify both sides of the equation.

Simplify the left side.

Simplify $- 4 (- \frac{x}{4})$ .

Cancel the common factor of $4$ .

Move the leading negative in $- \frac{x}{4}$ into the numerator.

$- 4 \frac{- x}{4} = - 4 \cdot - 3$

Factor $4$ out of $- 4$ .

$4 (- 1) \frac{- x}{4} = - 4 \cdot - 3$

Cancel the common factor.

$4 \cdot - 1 \frac{- x}{4} = - 4 \cdot - 3$

Rewrite the expression.

$- - x = - 4 \cdot - 3$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 x = - 4 \cdot - 3$

Multiply $x$ by $1$ .

$x = - 4 \cdot - 3$

Simplify the right side.

Multiply $- 4$ by $- 3$ .

$x = 12$

Solve for x 4-5/2(1/10x)=1

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