Solve Solve : (x - 2)/2 + (x + 10)/9 = 5 | 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

$$\frac { x - 2 } { 2 } + \frac { x + 10 } { 9 } = 5$$

Solve for x

$x=8$

Steps for Solving Linear Equation

Multiply both sides of the equation by $18$, the least common multiple of $2,9$.

$$9\left(x-2\right)+2\left(x+10\right)=90$$

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

$$9x-18+2\left(x+10\right)=90$$

Use the distributive property to multiply $2$ by $x+10$.

$$9x-18+2x+20=90$$

Combine $9x$ and $2x$ to get $11x$.

$$11x-18+20=90$$

Add $-18$ and $20$ to get $2$.

$$11x+2=90$$

Subtract $2$ from both sides.

$$11x=90-2$$

Subtract $2$ from $90$ to get $88$.

$$11x=88$$

Divide both sides by $11$.

$$x=\frac{88}{11}$$

Divide $88$ by $11$ to get $8$.

$$x=8$$