Solve 21 - 3x <= 4x - 14 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$21-3x\le4x-14$$

Solve for x

$x\geq 5$

Solution Steps

Subtract $4x$ from both sides.

$$21-3x-4x\leq -14$$

Combine $-3x$ and $-4x$ to get $-7x$.

$$21-7x\leq -14$$

Subtract $21$ from both sides.

$$-7x\leq -14-21$$

Subtract $21$ from $-14$ to get $-35$.

$$-7x\leq -35$$

Divide both sides by $-7$. Since $-7$ is negative, the inequality direction is changed.

$$x\geq \frac{-35}{-7}$$

Divide $-35$ by $-7$ to get $5$.

$$x\geq 5$$