Solve 17 - 3(x - 5) = 2 - 13x | 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

$$17-3(x-5)=2-13x$$

Solve for x

$x=-3$

Steps for Solving Linear Equation

Use the distributive property to multiply $-3$ by $x-5$.

$$17-3x+15=2-13x$$

Add $17$ and $15$ to get $32$.

$$32-3x=2-13x$$

Add $13x$ to both sides.

$$32-3x+13x=2$$

Combine $-3x$ and $13x$ to get $10x$.

$$32+10x=2$$

Subtract $32$ from both sides.

$$10x=2-32$$

Subtract $32$ from $2$ to get $-30$.

$$10x=-30$$

Divide both sides by $10$.

$$x=\frac{-30}{10}$$

Divide $-30$ by $10$ to get $-3$.

$$x=-3$$