Algebra Examples

$7 - 3 x = x - 4 (2 + x)$

Step 1

Move all the expressions to the left side of the equation.

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Step 1.1

Subtract $x$ from both sides of the equation.

$7 - 3 x - x = - 4 (2 + x)$

Step 1.2

Add $4 (2 + x)$ to both sides of the equation.

$7 - 3 x - x + 4 (2 + x) = 0$

Step 2

Simplify $7 - 3 x - x + 4 (2 + x)$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$7 - 3 x - x + 4 \cdot 2 + 4 x = 0$

Step 2.1.2

Multiply $4$ by $2$ .

$7 - 3 x - x + 8 + 4 x = 0$

Step 2.2

Add $7$ and $8$ .

$- 3 x - x + 15 + 4 x = 0$

Step 2.3

Subtract $x$ from $- 3 x$ .

$- 4 x + 15 + 4 x = 0$

Step 2.4

Combine the opposite terms in $- 4 x + 15 + 4 x$ .

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Step 2.4.1

Add $- 4 x$ and $4 x$ .

$0 + 15 = 0$

Step 2.4.2

Add $0$ and $15$ .

$15 = 0$

Step 3

Since $15 \neq 0$ , there are no solutions.

No solution