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

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

Solve for x

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

Steps for Solving Linear Equation

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

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

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

$$15x-60+5x+30=2\left(x-9\right)$$

Combine $15x$ and $5x$ to get $20x$.

$$20x-60+30=2\left(x-9\right)$$

Add $-60$ and $30$ to get $-30$.

$$20x-30=2\left(x-9\right)$$

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

$$20x-30=2x-18$$

Subtract $2x$ from both sides.

$$20x-30-2x=-18$$

Combine $20x$ and $-2x$ to get $18x$.

$$18x-30=-18$$

Add $30$ to both sides.

$$18x=-18+30$$

Add $-18$ and $30$ to get $12$.

$$18x=12$$

Divide both sides by $18$.

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

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

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