Solve for x 2.2x-5=2(1.4x+3)

$2.2 x - 5 = 2 (1.4 x + 3)$

Simplify $2 (1.4 x + 3)$ .

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Apply the distributive property.

$2.2 x - 5 = 2 (1.4 x) + 2 \cdot 3$

Multiply.

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Multiply $1.4$ by $2$ .

$2.2 x - 5 = 2.8 x + 2 \cdot 3$

Multiply $2$ by $3$ .

$2.2 x - 5 = 2.8 x + 6$

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

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Subtract $2.8 x$ from both sides of the equation.

$2.2 x - 5 - 2.8 x = 6$

Subtract $2.8 x$ from $2.2 x$ .

$- 0.6 x - 5 = 6$

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

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Add $5$ to both sides of the equation.

$- 0.6 x = 6 + 5$

Add $6$ and $5$ .

$- 0.6 x = 11$

Divide each term by $- 0.6$ and simplify.

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Divide each term in $- 0.6 x = 11$ by $- 0.6$ .

$\frac{- 0.6 x}{- 0.6} = \frac{11}{- 0.6}$

Cancel the common factor of $- 0.6$ .

$x = \frac{11}{- 0.6}$

Divide $11$ by $- 0.6$ .

$x = - 18.\overline{3}$

Solve for x 2.2x-5=2(1.4x+3)

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