Solve ()((2x)/(3))-3=9(x)(()/(3))-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

$$\frac { 2x } { 3 } -3=9 x \frac { } { 3 } -2$$

Solve for x

$x=-\frac{3}{7}\approx -0.428571429$

Steps for Solving Linear Equation

Multiply both sides of the equation by $3$.

$$2x-9=27x\times \frac{1}{3}-6$$

Multiply $27$ and $\frac{1}{3}$ to get $\frac{27}{3}$.

$$2x-9=\frac{27}{3}x-6$$

Divide $27$ by $3$ to get $9$.

$$2x-9=9x-6$$

Subtract $9x$ from both sides.

$$2x-9-9x=-6$$

Combine $2x$ and $-9x$ to get $-7x$.

$$-7x-9=-6$$

Add $9$ to both sides.

$$-7x=-6+9$$

Add $-6$ and $9$ to get $3$.

$$-7x=3$$

Divide both sides by $-7$.

$$x=\frac{3}{-7}$$

Fraction $\frac{3}{-7}$ can be rewritten as $-\frac{3}{7}$ by extracting the negative sign.

$$x=-\frac{3}{7}$$