Solve 2(x - 3) = 5(x - 2) - 2 | 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

$$2(x-3)=5(x-2)-2$$

Solve for x

$x=2$

Steps for Solving Linear Equation

Use the distributive property to multiply $2$ by $x-3$.

$$2x-6=5\left(x-2\right)-2$$

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

$$2x-6=5x-10-2$$

Subtract $2$ from $-10$ to get $-12$.

$$2x-6=5x-12$$

Subtract $5x$ from both sides.

$$2x-6-5x=-12$$

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

$$-3x-6=-12$$

Add $6$ to both sides.

$$-3x=-12+6$$

Add $-12$ and $6$ to get $-6$.

$$-3x=-6$$

Divide both sides by $-3$.

$$x=\frac{-6}{-3}$$

Divide $-6$ by $-3$ to get $2$.

$$x=2$$