Algebra Examples

$(x - 1) - (2 x - 1) = 9 - x$

Step 1

Simplify $x - 1 - (2 x - 1)$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$x - 1 - (2 x) - - 1 = 9 - x$

Step 1.1.2

Multiply $2$ by $- 1$ .

$x - 1 - 2 x - - 1 = 9 - x$

Step 1.1.3

Multiply $- 1$ by $- 1$ .

$x - 1 - 2 x + 1 = 9 - x$

$x - 1 - 2 x + 1 = 9 - x$

Step 1.2

Simplify by adding terms.

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Step 1.2.1

Combine the opposite terms in $x - 1 - 2 x + 1$ .

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Step 1.2.1.1

Add $- 1$ and $1$ .

$x - 2 x + 0 = 9 - x$

Step 1.2.1.2

Add $x - 2 x$ and $0$ .

$x - 2 x = 9 - x$

$x - 2 x = 9 - x$

Step 1.2.2

Subtract $2 x$ from $x$ .

$- x = 9 - x$

$- x = 9 - x$

$- x = 9 - x$

Step 2

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

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Step 2.1

Add $x$ to both sides of the equation.

$- x + x = 9$

Step 2.2

Add $- x$ and $x$ .

$0 = 9$

$0 = 9$

Step 3

Since $0 \neq 9$ , there are no solutions.

No solution

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$