Solve 2(x - 2) + 3(4x - 1) = 0 | 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

$$2(x-2)+3(4x-1)=0$$

Solve for x

$x=\frac{1}{2}=0.5$

Steps for Solving Linear Equation

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

$$2x-4+3\left(4x-1\right)=0$$

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

$$2x-4+12x-3=0$$

Combine $2x$ and $12x$ to get $14x$.

$$14x-4-3=0$$

Subtract $3$ from $-4$ to get $-7$.

$$14x-7=0$$

Add $7$ to both sides. Anything plus zero gives itself.

$$14x=7$$

Divide both sides by $14$.

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

Reduce the fraction $\frac{7}{14}$ to lowest terms by extracting and canceling out $7$.

$$x=\frac{1}{2}$$