How to solve 4x = 2 - 3(x + 1)

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 4x = 2 - 3(x + 1) | Equatix

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Question

$$4x=2-3(x+1)$$

Solve for x

$x=-\frac{1}{7}\approx -0.142857143$

Steps for Solving Linear Equation

Use the distributive property to multiply $-3$ by $x+1$.

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

Subtract $3$ from $2$ to get $-1$.

$$4x=-1-3x$$

Add $3x$ to both sides.

$$4x+3x=-1$$

Combine $4x$ and $3x$ to get $7x$.

$$7x=-1$$

Divide both sides by $7$.

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

Fraction $\frac{-1}{7}$ can be rewritten as $-\frac{1}{7}$ by extracting the negative sign.

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

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Solve for x

Steps for Solving Linear Equation