Solve (2z+5)x(-3)=-2

$$( 2 z + 5 ) x ( - 3 ) = - 2$$

Solve for x

$$x=\frac{2}{3\left(2z+5\right)}$$

$$z\neq -\frac{5}{2}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2z+5 by x.

$$\left(2zx+5x\right)\left(-3\right)=-2$$

Use the distributive property to multiply 2zx+5x by -3.

$$-6xz-15x=-2$$

Combine all terms containing x.

$$\left(-6z-15\right)x=-2$$

Divide both sides by -6z-15.

$$\frac{\left(-6z-15\right)x}{-6z-15}=-\frac{2}{-6z-15}$$

Dividing by -6z-15 undoes the multiplication by -6z-15.

$$x=-\frac{2}{-6z-15}$$

Divide -2 by -6z-15.

$$x=\frac{2}{3\left(2z+5\right)}$$

Solve for z

$$z=-\frac{5}{2}+\frac{1}{3x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2z+5 by x.

$$\left(2zx+5x\right)\left(-3\right)=-2$$

Use the distributive property to multiply 2zx+5x by -3.

$$-6zx-15x=-2$$

Add 15x to both sides.

$$-6zx=-2+15x$$

The equation is in standard form.

$$\left(-6x\right)z=15x-2$$

Divide both sides by -6x.

$$\frac{\left(-6x\right)z}{-6x}=\frac{15x-2}{-6x}$$

Dividing by -6x undoes the multiplication by -6x.

$$z=\frac{15x-2}{-6x}$$

Divide -2+15x by -6x.

$$z=-\frac{5}{2}+\frac{1}{3x}$$