Solve 3x - 5 = 6(x - 2) - 4 | 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

$$3x-5=6(x-2)-4$$

Solve for x

$x = \frac{11}{3} = 3\frac{2}{3} \approx 3.666666667$

Steps for Solving Linear Equation

Use the distributive property to multiply $6$ by $x-2$.

$$3x-5=6x-12-4$$

Subtract $4$ from $-12$ to get $-16$.

$$3x-5=6x-16$$

Subtract $6x$ from both sides.

$$3x-5-6x=-16$$

Combine $3x$ and $-6x$ to get $-3x$.

$$-3x-5=-16$$

Add $5$ to both sides.

$$-3x=-16+5$$

Add $-16$ and $5$ to get $-11$.

$$-3x=-11$$

Divide both sides by $-3$.

$$x=\frac{-11}{-3}$$

Fraction $\frac{-11}{-3}$ can be simplified to $\frac{11}{3}$ by removing the negative sign from both the numerator and the denominator.

$$x=\frac{11}{3}$$