Algebra Examples

$4 x + (x - (2 x - 3)) - (5 - 2 (1 - x))$

Step 1

Remove parentheses.

$4 x + x - (2 x - 3) - (5 - 2 (1 - x))$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$4 x + x - (2 x) - - 3 - (5 - 2 (1 - x))$

Step 2.2

Multiply $2$ by $- 1$ .

$4 x + x - 2 x - - 3 - (5 - 2 (1 - x))$

Step 2.3

Multiply $- 1$ by $- 3$ .

$4 x + x - 2 x + 3 - (5 - 2 (1 - x))$

Step 2.4

Simplify each term.

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Step 2.4.1

Apply the distributive property.

$4 x + x - 2 x + 3 - (5 - 2 \cdot 1 - 2 (- x))$

Step 2.4.2

Multiply $- 2$ by $1$ .

$4 x + x - 2 x + 3 - (5 - 2 - 2 (- x))$

Step 2.4.3

Multiply $- 1$ by $- 2$ .

$4 x + x - 2 x + 3 - (5 - 2 + 2 x)$

$4 x + x - 2 x + 3 - (5 - 2 + 2 x)$

Step 2.5

Subtract $2$ from $5$ .

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

Step 2.6

Apply the distributive property.

$4 x + x - 2 x + 3 - 1 \cdot 3 - (2 x)$

Step 2.7

Multiply $- 1$ by $3$ .

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

Step 2.8

Multiply $2$ by $- 1$ .

$4 x + x - 2 x + 3 - 3 - 2 x$

$4 x + x - 2 x + 3 - 3 - 2 x$

Step 3

Simplify by adding terms.

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Step 3.1

Combine the opposite terms in $4 x + x - 2 x + 3 - 3 - 2 x$ .

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Step 3.1.1

Subtract $3$ from $3$ .

$4 x + x - 2 x + 0 - 2 x$

Step 3.1.2

Add $4 x + x - 2 x$ and $0$ .

$4 x + x - 2 x - 2 x$

$4 x + x - 2 x - 2 x$

Step 3.2

Add $4 x$ and $x$ .

$5 x - 2 x - 2 x$

Step 3.3

Subtract $2 x$ from $5 x$ .

$3 x - 2 x$

Step 3.4

Subtract $2 x$ from $3 x$ .

$x$

$x$

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