Solve 4(3x - 1) = 3(2x - 3) | 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

$$4(3x-1)=3(2x-3)$$

Solve for x

$x=-\frac{5}{6}\approx -0.833333333$

Steps for Solving Linear Equation

Use the distributive property to multiply $4$ by $3x-1$.

$$12x-4=3\left(2x-3\right)$$

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

$$12x-4=6x-9$$

Subtract $6x$ from both sides.

$$12x-4-6x=-9$$

Combine $12x$ and $-6x$ to get $6x$.

$$6x-4=-9$$

Add $4$ to both sides.

$$6x=-9+4$$

Add $-9$ and $4$ to get $-5$.

$$6x=-5$$

Divide both sides by $6$.

$$x=\frac{-5}{6}$$

Fraction $\frac{-5}{6}$ can be rewritten as $-\frac{5}{6}$ by extracting the negative sign.

$$x=-\frac{5}{6}$$