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

$$3(x-3)=5(2x+1)$$

Solve for x

$x=-2$

Steps for Solving Linear Equation

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

$$3x-9=5\left(2x+1\right)$$

Use the distributive property to multiply $5$ by $2x+1$.

$$3x-9=10x+5$$

Subtract $10x$ from both sides.

$$3x-9-10x=5$$

Combine $3x$ and $-10x$ to get $-7x$.

$$-7x-9=5$$

Add $9$ to both sides.

$$-7x=5+9$$

Add $5$ and $9$ to get $14$.

$$-7x=14$$

Divide both sides by $-7$.

$$x=\frac{14}{-7}$$

Divide $14$ by $-7$ to get $-2$.

$$x=-2$$