Solve for x 4(x-2 1/4)=-3.7

$4 (x - 2 \frac{1}{4}) = - 3.7$

Step 1

Simplify the left side.

Simplify $4 (x - 2 \frac{1}{4})$ .

Convert $2 \frac{1}{4}$ to an improper fraction.

A mixed number is an addition of its whole and fractional parts.

$4 (x - (2 + \frac{1}{4})) = - 3.7$

Add $2$ and $\frac{1}{4}$ .

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

$4 (x - (2 \cdot \frac{4}{4} + \frac{1}{4})) = - 3.7$

Combine $2$ and $\frac{4}{4}$ .

$4 (x - (\frac{2 \cdot 4}{4} + \frac{1}{4})) = - 3.7$

Combine the numerators over the common denominator.

$4 (x - \frac{2 \cdot 4 + 1}{4}) = - 3.7$

Simplify the numerator.

Multiply $2$ by $4$ .

$4 (x - \frac{8 + 1}{4}) = - 3.7$

Add $8$ and $1$ .

$4 (x - \frac{9}{4}) = - 3.7$

Apply the distributive property.

$4 x + 4 (- \frac{9}{4}) = - 3.7$

Cancel the common factor of $4$ .

Move the leading negative in $- \frac{9}{4}$ into the numerator.

$4 x + 4 (\frac{- 9}{4}) = - 3.7$

Cancel the common factor.

$4 x + 4 (\frac{- 9}{4}) = - 3.7$

Rewrite the expression.

$4 x - 9 = - 3.7$

Step 2

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

Add $9$ to both sides of the equation.

$4 x = - 3.7 + 9$

Add $- 3.7$ and $9$ .

$4 x = 5.3$

Step 3

Divide each term in $4 x = 5.3$ by $4$ and simplify.

Divide each term in $4 x = 5.3$ by $4$ .

$\frac{4 x}{4} = \frac{5.3}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 x}{4} = \frac{5.3}{4}$

Divide $x$ by $1$ .

$x = \frac{5.3}{4}$

Simplify the right side.

Divide $5.3$ by $4$ .

$x = 1.325$

Solve for x 4(x-2 1/4)=-3.7

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