Solve 4x-2(x-4x)=3x-2(3-x)

$$4 x - 2 ( x - 4 x ) = 3 x - 2 ( 3 - x )$$

Solve for x

$$x = -\frac{6}{5} = -1\frac{1}{5} = -1.2$$

Steps for Solving Linear Equation

Combine x and -4x to get -3x.

$$4x-2\left(-3\right)x=3x-2\left(3-x\right)$$

Multiply 2 and -3 to get -6.

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

The opposite of -6x is 6x.

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

Combine 4x and 6x to get 10x.

$$10x=3x-2\left(3-x\right)$$

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

$$10x=3x-6+2x$$

Combine 3x and 2x to get 5x.

$$10x=5x-6$$

Subtract 5x from both sides.

$$10x-5x=-6$$

Combine 10x and -5x to get 5x.

$$5x=-6$$

Divide both sides by 5.

$$x=\frac{-6}{5}$$

Fraction \frac{-6}{5} can be rewritten as -\frac{6}{5} by extracting the negative sign.

$$x=-\frac{6}{5}$$