Solve 4(3x - 1) = 2(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

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

Solve for x

$x=-\frac{1}{4}=-0.25$

Steps for Solving Linear Equation

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

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

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

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

Subtract $4x$ from both sides.

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

Combine $12x$ and $-4x$ to get $8x$.

$$8x-4=-6$$

Add $4$ to both sides.

$$8x=-6+4$$

Add $-6$ and $4$ to get $-2$.

$$8x=-2$$

Divide both sides by $8$.

$$x=\frac{-2}{8}$$

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

$$x=-\frac{1}{4}$$