Solve 15(x - 4) - 2(x - 9) + 5(x + 6) = 0 | 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

$$15(x-4)-2(x-9)+5(x+6)=0$$

Solve for x

$x=\frac{2}{3}\approx 0.666666667$

Steps for Solving Linear Equation

Use the distributive property to multiply $15$ by $x-4$.

$$15x-60-2\left(x-9\right)+5\left(x+6\right)=0$$

Use the distributive property to multiply $-2$ by $x-9$.

$$15x-60-2x+18+5\left(x+6\right)=0$$

Combine $15x$ and $-2x$ to get $13x$.

$$13x-60+18+5\left(x+6\right)=0$$

Add $-60$ and $18$ to get $-42$.

$$13x-42+5\left(x+6\right)=0$$

Use the distributive property to multiply $5$ by $x+6$.

$$13x-42+5x+30=0$$

Combine $13x$ and $5x$ to get $18x$.

$$18x-42+30=0$$

Add $-42$ and $30$ to get $-12$.

$$18x-12=0$$

Add $12$ to both sides. Anything plus zero gives itself.

$$18x=12$$

Divide both sides by $18$.

$$x=\frac{12}{18}$$

Reduce the fraction $\frac{12}{18}$ to lowest terms by extracting and canceling out $6$.

$$x=\frac{2}{3}$$