Solve 9x + 1 = 12(x + 1) + 6 | 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

$$9x+1=12(x+1)+6$$

Solve for x

$x = -\frac{17}{3} = -5\frac{2}{3} \approx -5.666666667$

Steps for Solving Linear Equation

Use the distributive property to multiply $12$ by $x+1$.

$$9x+1=12x+12+6$$

Add $12$ and $6$ to get $18$.

$$9x+1=12x+18$$

Subtract $12x$ from both sides.

$$9x+1-12x=18$$

Combine $9x$ and $-12x$ to get $-3x$.

$$-3x+1=18$$

Subtract $1$ from both sides.

$$-3x=18-1$$

Subtract $1$ from $18$ to get $17$.

$$-3x=17$$

Divide both sides by $-3$.

$$x=\frac{17}{-3}$$

Fraction $\frac{17}{-3}$ can be rewritten as $-\frac{17}{3}$ by extracting the negative sign.

$$x=-\frac{17}{3}$$