Solve () [2x + (3x - 5y + 7z)] - 2(5x - 3z) | 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

$$[ 2 x + ( 3 x - 5 y + 7 z ) ] - 2 ( 5 x - 3 z )$$

Evaluate

$13z-5y-5x$

Solution Steps

Combine $2x$ and $3x$ to get $5x$.

$$5x-5y+7z-2\left(5x-3z\right)$$

Use the distributive property to multiply $-2$ by $5x-3z$.

$$5x-5y+7z-10x+6z$$

Combine $5x$ and $-10x$ to get $-5x$.

$$-5x-5y+7z+6z$$

Combine $7z$ and $6z$ to get $13z$.

$$-5x-5y+13z$$

Expand

$13z-5y-5x$

Solution Steps

Combine $2x$ and $3x$ to get $5x$.

$$5x-5y+7z-2\left(5x-3z\right)$$

Use the distributive property to multiply $-2$ by $5x-3z$.

$$5x-5y+7z-10x+6z$$

Combine $5x$ and $-10x$ to get $-5x$.

$$-5x-5y+7z+6z$$

Combine $7z$ and $6z$ to get $13z$.

$$-5x-5y+13z$$