Solve (100 - n)/5 + (100 - 2n) = n + 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

$$\frac{100-n}{5}+(100-2n)=n+8$$

Solve for n

$n=35$

Steps for Solving Linear Equation

Multiply both sides of the equation by $5$.

$$100-n+500-10n=5n+40$$

Add $100$ and $500$ to get $600$.

$$600-n-10n=5n+40$$

Combine $-n$ and $-10n$ to get $-11n$.

$$600-11n=5n+40$$

Subtract $5n$ from both sides.

$$600-11n-5n=40$$

Combine $-11n$ and $-5n$ to get $-16n$.

$$600-16n=40$$

Subtract $600$ from both sides.

$$-16n=40-600$$

Subtract $600$ from $40$ to get $-560$.

$$-16n=-560$$

Divide both sides by $-16$.

$$n=\frac{-560}{-16}$$

Divide $-560$ by $-16$ to get $35$.

$$n=35$$