Algebra Examples

$2 x + 4 + 3 x - 1 = 7 x - 2 - x$

Step 1

Simplify $2 x + 4 + 3 x - 1$ .

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Step 1.1

Add $2 x$ and $3 x$ .

$5 x + 4 - 1 = 7 x - 2 - x$

Step 1.2

Subtract $1$ from $4$ .

$5 x + 3 = 7 x - 2 - x$

Step 2

Subtract $x$ from $7 x$ .

$5 x + 3 = 6 x - 2$

Step 3

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

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Step 3.1

Subtract $6 x$ from both sides of the equation.

$5 x + 3 - 6 x = - 2$

Step 3.2

Subtract $6 x$ from $5 x$ .

$- x + 3 = - 2$

Step 4

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

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Step 4.1

Subtract $3$ from both sides of the equation.

$- x = - 2 - 3$

Step 4.2

Subtract $3$ from $- 2$ .

$- x = - 5$

Step 5

Divide each term in $- x = - 5$ by $- 1$ and simplify.

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Step 5.1

Divide each term in $- x = - 5$ by $- 1$ .

$\frac{- x}{- 1} = \frac{- 5}{- 1}$

Step 5.2

Simplify the left side.

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Step 5.2.1

Dividing two negative values results in a positive value.

$\frac{x}{1} = \frac{- 5}{- 1}$

Step 5.2.2

Divide $x$ by $1$ .

$x = \frac{- 5}{- 1}$

Step 5.3

Simplify the right side.

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Step 5.3.1

Divide $- 5$ by $- 1$ .

$x = 5$