Solve -3x(a+3)=-4x+a/2

$$- 3 x ( a + 3 ) = - 4 x + \frac { a } { 2 }$$

Solve for a

$$a=-\frac{10x}{6x+1}$$

$$x\neq -\frac{1}{6}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$-6x\left(a+3\right)=-8x+a$$

Use the distributive property to multiply -6x by a+3.

$$-6xa-18x=-8x+a$$

Subtract a from both sides.

$$-6xa-18x-a=-8x$$

Add 18x to both sides.

$$-6xa-a=-8x+18x$$

Combine -8x and 18x to get 10x.

$$-6xa-a=10x$$

Combine all terms containing a.

$$\left(-6x-1\right)a=10x$$

Divide both sides by -6x-1.

$$\frac{\left(-6x-1\right)a}{-6x-1}=\frac{10x}{-6x-1}$$

Dividing by -6x-1 undoes the multiplication by -6x-1.

$$a=\frac{10x}{-6x-1}$$

Divide 10x by -6x-1.

$$a=-\frac{10x}{6x+1}$$

Solve for x

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

$$a\neq -\frac{5}{3}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$-6x\left(a+3\right)=-8x+a$$

Use the distributive property to multiply -6x by a+3.

$$-6xa-18x=-8x+a$$

Add 8x to both sides.

$$-6xa-18x+8x=a$$

Combine -18x and 8x to get -10x.

$$-6xa-10x=a$$

Combine all terms containing x.

$$\left(-6a-10\right)x=a$$

Divide both sides by -6a-10.

$$\frac{\left(-6a-10\right)x}{-6a-10}=\frac{a}{-6a-10}$$

Dividing by -6a-10 undoes the multiplication by -6a-10.

$$x=\frac{a}{-6a-10}$$

Divide a by -6a-10.

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