Solve (x - 3)(x - 4) = (x - 5)(x - 4) | 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

$$(x-3)(x-4)=(x-5)(x-4)$$

Solve for x

$x=4$

Steps for Solving Linear Equation

Use the distributive property to multiply $x-3$ by $x-4$ and combine like terms.

$$x^{2}-7x+12=\left(x-5\right)\left(x-4\right)$$

Use the distributive property to multiply $x-5$ by $x-4$ and combine like terms.

$$x^{2}-7x+12=x^{2}-9x+20$$

Subtract $x^{2}$ from both sides.

$$x^{2}-7x+12-x^{2}=-9x+20$$

Combine $x^{2}$ and $-x^{2}$ to get $0$.

$$-7x+12=-9x+20$$

Add $9x$ to both sides.

$$-7x+12+9x=20$$

Combine $-7x$ and $9x$ to get $2x$.

$$2x+12=20$$

Subtract $12$ from both sides.

$$2x=20-12$$

Subtract $12$ from $20$ to get $8$.

$$2x=8$$

Divide both sides by $2$.

$$x=\frac{8}{2}$$

Divide $8$ by $2$ to get $4$.

$$x=4$$