Solve 3(x - 3) = 7(3x + 1) | 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

$$3(x-3)=7(3x+1)$$

Solve for x

$x=-\frac{8}{9}\approx -0.888888889$

Steps for Solving Linear Equation

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

$$3x-9=7\left(3x+1\right)$$

Use the distributive property to multiply $7$ by $3x+1$.

$$3x-9=21x+7$$

Subtract $21x$ from both sides.

$$3x-9-21x=7$$

Combine $3x$ and $-21x$ to get $-18x$.

$$-18x-9=7$$

Add $9$ to both sides.

$$-18x=7+9$$

Add $7$ and $9$ to get $16$.

$$-18x=16$$

Divide both sides by $-18$.

$$x=\frac{16}{-18}$$

Reduce the fraction $\frac{16}{-18}$ to lowest terms by extracting and canceling out $2$.

$$x=-\frac{8}{9}$$