Solve property a+[b+6]=Ga+b]+6; 3+[5+[8]>[2+5]+[8] | 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

$$\left. \begin{array} { l } { a + [ b + c ] = [ a + b ] + c } \\ { 3 + [ 5 + [ 8 ] = [ a + 5 ] + [ 8 ] } \end{array} \right.$$

Solve for a, b, c

$a\in \mathrm{R}$
$b\in \mathrm{R}$
$c\in \mathrm{R}$

Solution Steps

Subtract $a$ from both sides.

$$a+b+c-a=b+c$$

Combine $a$ and $-a$ to get $0$.

$$b+c=b+c$$

Subtract $b$ from both sides.

$$b+c-b=c$$

Combine $b$ and $-b$ to get $0$.

$$c=c$$

Subtract $c$ from both sides.

$$c-c=0$$

Combine $c$ and $-c$ to get $0$.

$$0=0$$

Compare $0$ and $0$.

$$\text{true}$$

This is true for any $a$.

$$a\in \mathrm{R}$$