Solve 17x - 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

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

Solve for x

$x=-\frac{13}{27}\approx -0.481481481$

Steps for Solving Linear Equation

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

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

Combine $17x$ and $-3x$ to get $14x$.

$$14x+15=2-13x$$

Add $13x$ to both sides.

$$14x+15+13x=2$$

Combine $14x$ and $13x$ to get $27x$.

$$27x+15=2$$

Subtract $15$ from both sides.

$$27x=2-15$$

Subtract $15$ from $2$ to get $-13$.

$$27x=-13$$

Divide both sides by $27$.

$$x=\frac{-13}{27}$$

Fraction $\frac{-13}{27}$ can be rewritten as $-\frac{13}{27}$ by extracting the negative sign.

$$x=-\frac{13}{27}$$