Solve IMP Not (x - 5) * 13 = (x - 5) * 15 | 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

$$( x - 5 ) 13 = ( x - 5 ) 15$$

Solve for x

$x=5$

Steps for Solving Linear Equation

Use the distributive property to multiply $x-5$ by $13$.

$$13x-65=\left(x-5\right)\times 15$$

Use the distributive property to multiply $x-5$ by $15$.

$$13x-65=15x-75$$

Subtract $15x$ from both sides.

$$13x-65-15x=-75$$

Combine $13x$ and $-15x$ to get $-2x$.

$$-2x-65=-75$$

Add $65$ to both sides.

$$-2x=-75+65$$

Add $-75$ and $65$ to get $-10$.

$$-2x=-10$$

Divide both sides by $-2$.

$$x=\frac{-10}{-2}$$

Divide $-10$ by $-2$ to get $5$.

$$x=5$$