Solve 2(x - 1) - 4 = 6(x + 2) | 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

$$2(x-1)-4=6(x+2)$$

Solve for x

$x = -\frac{9}{2} = -4\frac{1}{2} = -4.5$

Steps for Solving Linear Equation

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

$$2x-2-4=6\left(x+2\right)$$

Subtract $4$ from $-2$ to get $-6$.

$$2x-6=6\left(x+2\right)$$

Use the distributive property to multiply $6$ by $x+2$.

$$2x-6=6x+12$$

Subtract $6x$ from both sides.

$$2x-6-6x=12$$

Combine $2x$ and $-6x$ to get $-4x$.

$$-4x-6=12$$

Add $6$ to both sides.

$$-4x=12+6$$

Add $12$ and $6$ to get $18$.

$$-4x=18$$

Divide both sides by $-4$.

$$x=\frac{18}{-4}$$

Reduce the fraction $\frac{18}{-4}$ to lowest terms by extracting and canceling out $2$.

$$x=-\frac{9}{2}$$