Solve 14-(x+5)=3(x+9)-10 | 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

$$14-(x+5)=3(x+9)-10$$

Solve for x

$x=-2$

Steps for Solving Linear Equation

To find the opposite of $x+5$, find the opposite of each term.

$$14-x-5=3\left(x+9\right)-10$$

Subtract $5$ from $14$ to get $9$.

$$9-x=3\left(x+9\right)-10$$

Use the distributive property to multiply $3$ by $x+9$.

$$9-x=3x+27-10$$

Subtract $10$ from $27$ to get $17$.

$$9-x=3x+17$$

Subtract $3x$ from both sides.

$$9-x-3x=17$$

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

$$9-4x=17$$

Subtract $9$ from both sides.

$$-4x=17-9$$

Subtract $9$ from $17$ to get $8$.

$$-4x=8$$

Divide both sides by $-4$.

$$x=\frac{8}{-4}$$

Divide $8$ by $-4$ to get $-2$.

$$x=-2$$