Solve (Q-q)=((15+190)-(15+90+40+60)) | 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

$$(Q-q)=((15+190)-(15+90+40+60))$$

Solve for Q

$Q=q$

Solution Steps

Add $15$ and $190$ to get $205$.

$$Q-q=205-\left(15+90+40+60\right)$$

Add $15$ and $90$ to get $105$.

$$Q-q=205-\left(105+40+60\right)$$

Add $105$ and $40$ to get $145$.

$$Q-q=205-\left(145+60\right)$$

Add $145$ and $60$ to get $205$.

$$Q-q=205-205$$

Subtract $205$ from $205$ to get $0$.

$$Q-q=0$$

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

$$Q=q$$

Solve for q

$q=Q$

Solution Steps

Add $15$ and $190$ to get $205$.

$$Q-q=205-\left(15+90+40+60\right)$$

Add $15$ and $90$ to get $105$.

$$Q-q=205-\left(105+40+60\right)$$

Add $105$ and $40$ to get $145$.

$$Q-q=205-\left(145+60\right)$$

Add $145$ and $60$ to get $205$.

$$Q-q=205-205$$

Subtract $205$ from $205$ to get $0$.

$$Q-q=0$$

Subtract $Q$ from both sides. Anything subtracted from zero gives its negation.

$$-q=-Q$$

Cancel out $-1$ on both sides.

$$q=Q$$