Solve (3x - 2)/5 + 6 = 5x - 2 | 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

$$\frac{3x-2}{5}+6=5x-2$$

Solve for x

$x = \frac{19}{11} = 1\frac{8}{11} \approx 1.727272727$

Steps for Solving Linear Equation

Multiply both sides of the equation by $5$.

$$3x-2+30=25x-10$$

Add $-2$ and $30$ to get $28$.

$$3x+28=25x-10$$

Subtract $25x$ from both sides.

$$3x+28-25x=-10$$

Combine $3x$ and $-25x$ to get $-22x$.

$$-22x+28=-10$$

Subtract $28$ from both sides.

$$-22x=-10-28$$

Subtract $28$ from $-10$ to get $-38$.

$$-22x=-38$$

Divide both sides by $-22$.

$$x=\frac{-38}{-22}$$

Reduce the fraction $\frac{-38}{-22}$ to lowest terms by extracting and canceling out $-2$.

$$x=\frac{19}{11}$$