Solve for x 1=-6-5(5.2x+5.2)+x

$1 = - 6 - 5 (5.2 x + 5.2) + x$

Step 1

Rewrite the equation as $- 6 - 5 (5.2 x + 5.2) + x = 1$ .

$- 6 - 5 (5.2 x + 5.2) + x = 1$

Step 2

Simplify $- 6 - 5 (5.2 x + 5.2) + x$ .

Simplify each term.

Apply the distributive property.

$- 6 - 5 (5.2 x) - 5 \cdot 5.2 + x = 1$

Multiply $5.2$ by $- 5$ .

$- 6 - 26 x - 5 \cdot 5.2 + x = 1$

Multiply $- 5$ by $5.2$ .

$- 6 - 26 x - 26 + x = 1$

Simplify by adding terms.

Subtract $26$ from $- 6$ .

$- 26 x - 32 + x = 1$

Add $- 26 x$ and $x$ .

$- 25 x - 32 = 1$

Step 3

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

Add $32$ to both sides of the equation.

$- 25 x = 1 + 32$

Add $1$ and $32$ .

$- 25 x = 33$

Step 4

Divide each term in $- 25 x = 33$ by $- 25$ and simplify.

Divide each term in $- 25 x = 33$ by $- 25$ .

$\frac{- 25 x}{- 25} = \frac{33}{- 25}$

Simplify the left side.

Cancel the common factor of $- 25$ .

Cancel the common factor.

$\frac{- 25 x}{- 25} = \frac{33}{- 25}$

Divide $x$ by $1$ .

$x = \frac{33}{- 25}$

Simplify the right side.

Cancel the common factor of $33$ and $- 25$ .

Rewrite $33$ as $1 (33)$ .

$x = \frac{1 (33)}{- 25}$

Cancel the common factors.

Rewrite $- 25$ as $1 (- 25)$ .

$x = \frac{1 \cdot 33}{1 \cdot - 25}$

Cancel the common factor.

$x = \frac{1 \cdot 33}{1 \cdot - 25}$

Rewrite the expression.

$x = \frac{33}{- 25}$

Move the negative in front of the fraction.

$x = - \frac{33}{25}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{33}{25}$

Decimal Form:

$x = - 1.32$

Mixed Number Form:

$x = - 1 \frac{8}{25}$

Solve for x 1=-6-5(5.2x+5.2)+x

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