Solve (40)/(5)=(x-32)/(9) | 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

$$\frac{ 40 }{ 5 } = \frac{ x-32 }{ 9 }$$

Solve for x

$x=104$

Steps for Solving Linear Equation

Multiply both sides of the equation by $45$, the least common multiple of $5,9$.

$$9\times 40=5\left(x-32\right)$$

Multiply $9$ and $40$ to get $360$.

$$360=5\left(x-32\right)$$

Use the distributive property to multiply $5$ by $x-32$.

$$360=5x-160$$

Swap sides so that all variable terms are on the left hand side.

$$5x-160=360$$

Add $160$ to both sides.

$$5x=360+160$$

Add $360$ and $160$ to get $520$.

$$5x=520$$

Divide both sides by $5$.

$$x=\frac{520}{5}$$

Divide $520$ by $5$ to get $104$.

$$x=104$$