How to solve 2(x-5)+6=3x+3

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 2(x-5)+6=3x+3 | Equatix

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Question

$$2(x-5)+6=3x+3$$

Solve for x

$x=-7$

Steps for Solving Linear Equation

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

$$2x-10+6=3x+3$$

Add $-10$ and $6$ to get $-4$.

$$2x-4=3x+3$$

Subtract $3x$ from both sides.

$$2x-4-3x=3$$

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

$$-x-4=3$$

Add $4$ to both sides.

$$-x=3+4$$

Add $3$ and $4$ to get $7$.

$$-x=7$$

Multiply both sides by $-1$.

$$x=-7$$

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Question

Solve for x

Steps for Solving Linear Equation