How to solve 3x+4=5(x-2)

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 3x+4=5(x-2) | Equatix

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Question

$$3x+4=5(x-2)$$

Solve for x

$x=7$

Steps for Solving Linear Equation

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

$$3x+4=5x-10$$

Subtract $5x$ from both sides.

$$3x+4-5x=-10$$

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

$$-2x+4=-10$$

Subtract $4$ from both sides.

$$-2x=-10-4$$

Subtract $4$ from $-10$ to get $-14$.

$$-2x=-14$$

Divide both sides by $-2$.

$$x=\frac{-14}{-2}$$

Divide $-14$ by $-2$ to get $7$.

$$x=7$$

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Question

Solve for x

Steps for Solving Linear Equation