Solve -2left(x-3right)+1=-3left(-x+7right)+2

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

Solve for x

$$x = \frac{26}{5} = 5\frac{1}{5} = 5.2$$

Steps for Solving Linear Equation

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

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

Add 6 and 1 to get 7.

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

Use the distributive property to multiply -3 by -x+7.

$$-2x+7=-3\left(-x\right)-21+2$$

Multiply -3 and -1 to get 3.

$$-2x+7=3x-21+2$$

Add -21 and 2 to get -19.

$$-2x+7=3x-19$$

Subtract 3x from both sides.

$$-2x+7-3x=-19$$

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

$$-5x+7=-19$$

Subtract 7 from both sides.

$$-5x=-19-7$$

Subtract 7 from -19 to get -26.

$$-5x=-26$$

Divide both sides by -5.

$$x=\frac{-26}{-5}$$

Fraction \frac{-26}{-5} can be simplified to \frac{26}{5} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{26}{5}$$