Solve {l}{3(2x-1)=-2(x}{5x-3(x+2)=15}

$$\left. \begin{array} { l } { 3 ( 2 x - 1 ) = - 2 ( x } \\ { 5 x - 3 ( x + 2 ) = 15 } \end{array} \right.$$

Solve for x

$$x=\frac{1}{6}\approx 0.166666667$$

Steps for Solving Linear Equation

Divide both sides by 3.

$$2x-1=-\frac{2}{3}$$

Add 1 to both sides.

$$2x=-\frac{2}{3}+1$$

Convert 1 to fraction \frac{3}{3}.

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

Since -\frac{2}{3} and \frac{3}{3} have the same denominator, add them by adding their numerators.

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

Add -2 and 3 to get 1.

$$2x=\frac{1}{3}$$

Divide both sides by 2.

$$x=\frac{\frac{1}{3}}{2}$$

Express \frac{\frac{1}{3}}{2} as a single fraction.

$$x=\frac{1}{3\times 2}$$

Multiply 3 and 2 to get 6.

$$x=\frac{1}{6}$$