Solve for x 34x+95=3(14x+9)

$34 x + 95 = 3 (14 x + 9)$

Step 1

Simplify $3 (14 x + 9)$ .

Rewrite.

$34 x + 95 = 0 + 0 + 3 (14 x + 9)$

Simplify by adding zeros.

$34 x + 95 = 3 (14 x + 9)$

Apply the distributive property.

$34 x + 95 = 3 (14 x) + 3 \cdot 9$

Multiply.

Multiply $14$ by $3$ .

$34 x + 95 = 42 x + 3 \cdot 9$

Multiply $3$ by $9$ .

$34 x + 95 = 42 x + 27$

Step 2

Move all terms containing $x$ to the left side of the equation.

Subtract $42 x$ from both sides of the equation.

$34 x + 95 - 42 x = 27$

Subtract $42 x$ from $34 x$ .

$- 8 x + 95 = 27$

Step 3

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

Subtract $95$ from both sides of the equation.

$- 8 x = 27 - 95$

Subtract $95$ from $27$ .

$- 8 x = - 68$

Step 4

Divide each term in $- 8 x = - 68$ by $- 8$ and simplify.

Divide each term in $- 8 x = - 68$ by $- 8$ .

$\frac{- 8 x}{- 8} = \frac{- 68}{- 8}$

Simplify the left side.

Cancel the common factor of $- 8$ .

Cancel the common factor.

$\frac{- 8 x}{- 8} = \frac{- 68}{- 8}$

Divide $x$ by $1$ .

$x = \frac{- 68}{- 8}$

Simplify the right side.

Cancel the common factor of $- 68$ and $- 8$ .

Factor $- 4$ out of $- 68$ .

$x = \frac{- 4 (17)}{- 8}$

Cancel the common factors.

Factor $- 4$ out of $- 8$ .

$x = \frac{- 4 \cdot 17}{- 4 \cdot 2}$

Cancel the common factor.

$x = \frac{- 4 \cdot 17}{- 4 \cdot 2}$

Rewrite the expression.

$x = \frac{17}{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$x = \frac{17}{2}$

Decimal Form:

$x = 8.5$

Mixed Number Form:

$x = 8 \frac{1}{2}$

Solve for x 34x+95=3(14x+9)

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