Solve - 3(x + 3) - 5(3x - 2) + 7 = 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

$$-3(x+3)-5(3x-2)+7=0$$

Solve for x

$x=\frac{4}{9}\approx 0.444444444$

Steps for Solving Linear Equation

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

$$-3x-9-5\left(3x-2\right)+7=0$$

Use the distributive property to multiply $-5$ by $3x-2$.

$$-3x-9-15x+10+7=0$$

Combine $-3x$ and $-15x$ to get $-18x$.

$$-18x-9+10+7=0$$

Add $-9$ and $10$ to get $1$.

$$-18x+1+7=0$$

Add $1$ and $7$ to get $8$.

$$-18x+8=0$$

Subtract $8$ from both sides. Anything subtracted from zero gives its negation.

$$-18x=-8$$

Divide both sides by $-18$.

$$x=\frac{-8}{-18}$$

Reduce the fraction $\frac{-8}{-18}$ to lowest terms by extracting and canceling out $-2$.

$$x=\frac{4}{9}$$