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

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

Solve for x

$$x=0$$

Steps for Solving Linear Equation

Combine x and 3x to get 4x.

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

Use the distributive property to multiply 6 by 4x-2.

$$24x-12=3\left(-4x+1-5\right)$$

Subtract 5 from 1 to get -4.

$$24x-12=3\left(-4x-4\right)$$

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

$$24x-12=-12x-12$$

Add 12x to both sides.

$$24x-12+12x=-12$$

Combine 24x and 12x to get 36x.

$$36x-12=-12$$

Add 12 to both sides.

$$36x=-12+12$$

Add -12 and 12 to get 0.

$$36x=0$$

Product of two numbers is equal to 0 if at least one of them is 0. Since 36 is not equal to 0, x must be equal to 0.

$$x=0$$