Pre-Algebra Examples

$(x^{4} - 7 x^{3} + 2 - x) + (2 x^{3} - 3) + (1 - 5 x^{3} - x^{4} + x)$

Step 1

Remove parentheses.

$x^{4} - 7 x^{3} + 2 - x + 2 x^{3} - 3 + 1 - 5 x^{3} - x^{4} + x$

Step 2

Combine the opposite terms in $x^{4} - 7 x^{3} + 2 - x + 2 x^{3} - 3 + 1 - 5 x^{3} - x^{4} + x$ .

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Step 2.1

Subtract $x^{4}$ from $x^{4}$ .

$- 7 x^{3} + 2 - x + 2 x^{3} - 3 + 1 - 5 x^{3} + 0 + x$

Step 2.2

Add $- 7 x^{3} + 2 - x + 2 x^{3} - 3 + 1 - 5 x^{3}$ and $0$ .

$- 7 x^{3} + 2 - x + 2 x^{3} - 3 + 1 - 5 x^{3} + x$

Step 2.3

Add $- x$ and $x$ .

$- 7 x^{3} + 2 + 2 x^{3} - 3 + 1 - 5 x^{3} + 0$

Step 2.4

Add $- 7 x^{3} + 2 + 2 x^{3} - 3 + 1 - 5 x^{3}$ and $0$ .

$- 7 x^{3} + 2 + 2 x^{3} - 3 + 1 - 5 x^{3}$

Step 3

Add $- 7 x^{3}$ and $2 x^{3}$ .

$- 5 x^{3} + 2 - 3 + 1 - 5 x^{3}$

Step 4

Subtract $5 x^{3}$ from $- 5 x^{3}$ .

$- 10 x^{3} + 2 - 3 + 1$

Step 5

Subtract $3$ from $2$ .

$- 10 x^{3} - 1 + 1$

Step 6

Combine the opposite terms in $- 10 x^{3} - 1 + 1$ .

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Step 6.1

Add $- 1$ and $1$ .

$- 10 x^{3} + 0$

Step 6.2

Add $- 10 x^{3}$ and $0$ .

$- 10 x^{3}$