Solve 2(3x-3)-4[2-(3x-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

$$2(3x-3)-4[2-(3x-2)]$$

Evaluate

$18x-22$

Solution Steps

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

$$6x-6-4\left(2-\left(3x-2\right)\right)$$

To find the opposite of $3x-2$, find the opposite of each term.

$$6x-6-4\left(2-3x-\left(-2\right)\right)$$

The opposite of $-2$ is $2$.

$$6x-6-4\left(2-3x+2\right)$$

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

$$6x-6-4\left(4-3x\right)$$

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

$$6x-6-16+12x$$

Subtract $16$ from $-6$ to get $-22$.

$$6x-22+12x$$

Combine $6x$ and $12x$ to get $18x$.

$$18x-22$$

Expand

$18x-22$

Solution Steps

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

$$6x-6-4\left(2-\left(3x-2\right)\right)$$

To find the opposite of $3x-2$, find the opposite of each term.

$$6x-6-4\left(2-3x-\left(-2\right)\right)$$

The opposite of $-2$ is $2$.

$$6x-6-4\left(2-3x+2\right)$$

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

$$6x-6-4\left(4-3x\right)$$

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

$$6x-6-16+12x$$

Subtract $16$ from $-6$ to get $-22$.

$$6x-22+12x$$

Combine $6x$ and $12x$ to get $18x$.

$$18x-22$$