How to solve x - 14 <= 7 - 2x

Q: How to solve x - 14 <= 7 - 2x

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve x - 14 <= 7 - 2x | Equatix

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Question

$$x-14\le7-2x$$

Solve for x

$x\leq 7$

Solution Steps

Add $2x$ to both sides.

$$x-14+2x\leq 7$$

Combine $x$ and $2x$ to get $3x$.

$$3x-14\leq 7$$

Add $14$ to both sides.

$$3x\leq 7+14$$

Add $7$ and $14$ to get $21$.

$$3x\leq 21$$

Divide both sides by $3$. Since $3$ is positive, the inequality direction remains the same.

$$x\leq \frac{21}{3}$$

Divide $21$ by $3$ to get $7$.

$$x\leq 7$$

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