How to solve (x)/(2)-1=x-7

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve (x)/(2)-1=x-7 | Equatix

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Question

$$\frac{ x }{ 2 } -1=x-7$$

Solve for x

$x=12$

Steps for Solving Linear Equation

Multiply both sides of the equation by $2$.

$$x-2=2x-14$$

Subtract $2x$ from both sides.

$$x-2-2x=-14$$

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

$$-x-2=-14$$

Add $2$ to both sides.

$$-x=-14+2$$

Add $-14$ and $2$ to get $-12$.

$$-x=-12$$

Multiply both sides by $-1$.

$$x=12$$

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Question

Solve for x

Steps for Solving Linear Equation