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

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

Solve for x

$$x=2$$

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.

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

Subtract 12x from both sides.

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

Combine 24x and -12x to get 12x.

$$12x-12=12$$

Add 12 to both sides.

$$12x=12+12$$

Add 12 and 12 to get 24.

$$12x=24$$

Divide both sides by 12.

$$x=\frac{24}{12}$$

Divide 24 by 12 to get 2.

$$x=2$$