Solve (x+9)/(5)=(x+7)/(10) | 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

$$\frac{ x+9 }{ 5 } = \frac{ x+7 }{ 10 }$$

Solve for x

$x=-11$

Steps for Solving Linear Equation

Multiply both sides of the equation by $10$, the least common multiple of $5,10$.

$$2\left(x+9\right)=x+7$$

Use the distributive property to multiply $2$ by $x+9$.

$$2x+18=x+7$$

Subtract $x$ from both sides.

$$2x+18-x=7$$

Combine $2x$ and $-x$ to get $x$.

$$x+18=7$$

Subtract $18$ from both sides.

$$x=7-18$$

Subtract $18$ from $7$ to get $-11$.

$$x=-11$$