Solve -2(x-1)=-[4-3(x-1)]

$$- 2 ( x - 1 ) = - [ 4 - 3 ( x - 1 ) ]$$

Solve for x

$$x = \frac{9}{5} = 1\frac{4}{5} = 1.8$$

Steps for Solving Linear Equation

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

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

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

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

Add 4 and 3 to get 7.

$$-2x+2=-\left(7-3x\right)$$

To find the opposite of 7-3x, find the opposite of each term.

$$-2x+2=-7-\left(-3x\right)$$

The opposite of -3x is 3x.

$$-2x+2=-7+3x$$

Subtract 3x from both sides.

$$-2x+2-3x=-7$$

Combine -2x and -3x to get -5x.

$$-5x+2=-7$$

Subtract 2 from both sides.

$$-5x=-7-2$$

Subtract 2 from -7 to get -9.

$$-5x=-9$$

Divide both sides by -5.

$$x=\frac{-9}{-5}$$

Fraction \frac{-9}{-5} can be simplified to \frac{9}{5} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{9}{5}$$