Solve -3(2x+1)-(x-3)=-23(x-1)+6x-3(2-x)

$$- 3 ( 2 x + 1 ) - ( x - 3 ) = - 23 ( x - 1 ) + 6 x - 3 ( 2 - x )$$

Solve for x

$$x = \frac{17}{7} = 2\frac{3}{7} \approx 2.428571429$$

Steps for Solving Linear Equation

Use the distributive property to multiply -3 by 2x+1.

$$-6x-3-\left(x-3\right)=-23\left(x-1\right)+6x-3\left(2-x\right)$$

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

$$-6x-3-x-\left(-3\right)=-23\left(x-1\right)+6x-3\left(2-x\right)$$

The opposite of -3 is 3.

$$-6x-3-x+3=-23\left(x-1\right)+6x-3\left(2-x\right)$$

Combine -6x and -x to get -7x.

$$-7x-3+3=-23\left(x-1\right)+6x-3\left(2-x\right)$$

Add -3 and 3 to get 0.

$$-7x=-23\left(x-1\right)+6x-3\left(2-x\right)$$

Use the distributive property to multiply -23 by x-1.

$$-7x=-23x+23+6x-3\left(2-x\right)$$

Combine -23x and 6x to get -17x.

$$-7x=-17x+23-3\left(2-x\right)$$

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

$$-7x=-17x+23-6+3x$$

Subtract 6 from 23 to get 17.

$$-7x=-17x+17+3x$$

Combine -17x and 3x to get -14x.

$$-7x=-14x+17$$

Add 14x to both sides.

$$-7x+14x=17$$

Combine -7x and 14x to get 7x.

$$7x=17$$

Divide both sides by 7.

$$x=\frac{17}{7}$$