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

$x=-\frac{4}{7}\approx -0.571428571$

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 $4$.

$$-7x=4$$

Divide both sides by $-7$.

$$x=\frac{4}{-7}$$

Fraction $\frac{4}{-7}$ can be rewritten as $-\frac{4}{7}$ by extracting the negative sign.

$$x=-\frac{4}{7}$$