Solve -3[2x-(4-3x)]=-(2-5x)

$$- 3 [ 2 x - ( 4 - 3 x ) ] = - ( 2 - 5 x )$$

Solve for x

$$x=\frac{7}{10}=0.7$$

Steps for Solving Linear Equation

To find the opposite of 4-3x, find the opposite of each term.

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

The opposite of -3x is 3x.

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

Combine 2x and 3x to get 5x.

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

Use the distributive property to multiply -3 by 5x-4.

$$-15x+12=-\left(2-5x\right)$$

To find the opposite of 2-5x, find the opposite of each term.

$$-15x+12=-2-\left(-5x\right)$$

The opposite of -5x is 5x.

$$-15x+12=-2+5x$$

Subtract 5x from both sides.

$$-15x+12-5x=-2$$

Combine -15x and -5x to get -20x.

$$-20x+12=-2$$

Subtract 12 from both sides.

$$-20x=-2-12$$

Subtract 12 from -2 to get -14.

$$-20x=-14$$

Divide both sides by -20.

$$x=\frac{-14}{-20}$$

Reduce the fraction \frac{-14}{-20} to lowest terms by extracting and canceling out -2.

$$x=\frac{7}{10}$$