Solve Solve the equation 5(x - 2) = 2(x + 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

$$5 ( x - 2 ) = 2 ( x + 9 )$$

Solve for x

$x = \frac{28}{3} = 9\frac{1}{3} \approx 9.333333333$

Steps for Solving Linear Equation

Use the distributive property to multiply $5$ by $x-2$.

$$5x-10=2\left(x+9\right)$$

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

$$5x-10=2x+18$$

Subtract $2x$ from both sides.

$$5x-10-2x=18$$

Combine $5x$ and $-2x$ to get $3x$.

$$3x-10=18$$

Add $10$ to both sides.

$$3x=18+10$$

Add $18$ and $10$ to get $28$.

$$3x=28$$

Divide both sides by $3$.

$$x=\frac{28}{3}$$