Solve 3(2x-1)=-2(x+3)

$$3 ( 2 x - 1 ) = - 2 ( x + 3 )$$

Solve for x

$$x=-\frac{3}{8}=-0.375$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by 2x-1.

$$6x-3=-2\left(x+3\right)$$

Use the distributive property to multiply -2 by x+3.

$$6x-3=-2x-6$$

Add 2x to both sides.

$$6x-3+2x=-6$$

Combine 6x and 2x to get 8x.

$$8x-3=-6$$

Add 3 to both sides.

$$8x=-6+3$$

Add -6 and 3 to get -3.

$$8x=-3$$

Divide both sides by 8.

$$x=\frac{-3}{8}$$

Fraction \frac{-3}{8} can be rewritten as -\frac{3}{8} by extracting the negative sign.

$$x=-\frac{3}{8}$$