Evaluate Using the Given Value 65x-7y+371-11x+7y=7

$65 x - 7 y + 371 - 11 x + 7 y = 7$

Step 1

Simplify $65 x - 7 y + 371 - 11 x + 7 y$ .

Combine the opposite terms in $65 x - 7 y + 371 - 11 x + 7 y$ .

Add $- 7 y$ and $7 y$ .

$65 x + 371 - 11 x + 0 = 7$

Add $65 x + 371 - 11 x$ and $0$ .

$65 x + 371 - 11 x = 7$

Subtract $11 x$ from $65 x$ .

$54 x + 371 = 7$

Step 2

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

Subtract $371$ from both sides of the equation.

$54 x = 7 - 371$

Subtract $371$ from $7$ .

$54 x = - 364$

Step 3

Divide each term in $54 x = - 364$ by $54$ and simplify.

Divide each term in $54 x = - 364$ by $54$ .

$\frac{54 x}{54} = \frac{- 364}{54}$

Simplify the left side.

Cancel the common factor of $54$ .

Cancel the common factor.

$\frac{54 x}{54} = \frac{- 364}{54}$

Divide $x$ by $1$ .

$x = \frac{- 364}{54}$

Simplify the right side.

Cancel the common factor of $- 364$ and $54$ .

Factor $2$ out of $- 364$ .

$x = \frac{2 (- 182)}{54}$

Cancel the common factors.

Factor $2$ out of $54$ .

$x = \frac{2 \cdot - 182}{2 \cdot 27}$

Cancel the common factor.

$x = \frac{2 \cdot - 182}{2 \cdot 27}$

Rewrite the expression.

$x = \frac{- 182}{27}$

Move the negative in front of the fraction.

$x = - \frac{182}{27}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{182}{27}$

Decimal Form:

$x = - 6.\overline{740}$

Mixed Number Form:

$x = - 6 \frac{20}{27}$

Evaluate Using the Given Value 65x-7y+371-11x+7y=7

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