Solve 5-3(4x+2)-6x=2(-3x+1)

$$5-3(4x+2)-6x=2(-3x+1)$$

Solve for x

$$x=-\frac{1}{4}=-0.25$$

Steps for Solving Linear Equation

Use the distributive property to multiply -3 by 4x+2.

$$5-12x-6-6x=2\left(-3x+1\right)$$

Subtract 6 from 5 to get -1.

$$-1-12x-6x=2\left(-3x+1\right)$$

Combine -12x and -6x to get -18x.

$$-1-18x=2\left(-3x+1\right)$$

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

$$-1-18x=-6x+2$$

Add 6x to both sides.

$$-1-18x+6x=2$$

Combine -18x and 6x to get -12x.

$$-1-12x=2$$

Add 1 to both sides.

$$-12x=2+1$$

Add 2 and 1 to get 3.

$$-12x=3$$

Divide both sides by -12.

$$x=\frac{3}{-12}$$

Reduce the fraction \frac{3}{-12} to lowest terms by extracting and canceling out 3.

$$x=-\frac{1}{4}$$