Solve (x - 2)(x + 5) - (x + 3)(x - 1) = - 1 | 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

$$(x-2)(x+5)-(x+3)(x-1)=-1$$

Solve for x

$x=6$

Steps for Solving Linear Equation

Use the distributive property to multiply $x-2$ by $x+5$ and combine like terms.

$$x^{2}+3x-10-\left(x+3\right)\left(x-1\right)=-1$$

Use the distributive property to multiply $x+3$ by $x-1$ and combine like terms.

$$x^{2}+3x-10-\left(x^{2}+2x-3\right)=-1$$

To find the opposite of $x^{2}+2x-3$, find the opposite of each term.

$$x^{2}+3x-10-x^{2}-2x+3=-1$$

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

$$3x-10-2x+3=-1$$

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

$$x-10+3=-1$$

Add $-10$ and $3$ to get $-7$.

$$x-7=-1$$

Add $7$ to both sides.

$$x=-1+7$$

Add $-1$ and $7$ to get $6$.

$$x=6$$