Algebra Examples

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

Step 1

Simplify $- (2 x - 3)$ .

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Step 1.1

Rewrite.

$0 + 0 - (2 x - 3) \leq 4 - (2 x + 4)$

Step 1.2

Simplify by adding zeros.

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

Step 1.3

Apply the distributive property.

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

Step 1.4

Multiply.

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Step 1.4.1

Multiply $2$ by $- 1$ .

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

Step 1.4.2

Multiply $- 1$ by $- 3$ .

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

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

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

Step 2

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

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

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

Step 2.1.2

Multiply $2$ by $- 1$ .

$- 2 x + 3 \leq 4 - 2 x - 1 \cdot 4$

Step 2.1.3

Multiply $- 1$ by $4$ .

$- 2 x + 3 \leq 4 - 2 x - 4$

$- 2 x + 3 \leq 4 - 2 x - 4$

Step 2.2

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

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Step 2.2.1

Subtract $4$ from $4$ .

$- 2 x + 3 \leq - 2 x + 0$

Step 2.2.2

Add $- 2 x$ and $0$ .

$- 2 x + 3 \leq - 2 x$

$- 2 x + 3 \leq - 2 x$

$- 2 x + 3 \leq - 2 x$

Step 3

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

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Step 3.1

Add $2 x$ to both sides of the inequality.

$- 2 x + 3 + 2 x \leq 0$

Step 3.2

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

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Step 3.2.1

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

$0 + 3 \leq 0$

Step 3.2.2

Add $0$ and $3$ .

$3 \leq 0$

$3 \leq 0$

$3 \leq 0$

Step 4

Since $3 \neq 0$ , there are no solutions.

No solution

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