3-4(2g-3)=-(2g-9)

Solution for 3-4(2g-3)=-(2g-9) equation:

Simplifying
3 + -4(2g + -3) = -1(2g + -9)

Reorder the terms:
3 + -4(-3 + 2g) = -1(2g + -9)
3 + (-3 * -4 + 2g * -4) = -1(2g + -9)
3 + (12 + -8g) = -1(2g + -9)

Combine like terms: 3 + 12 = 15
15 + -8g = -1(2g + -9)

Reorder the terms:
15 + -8g = -1(-9 + 2g)
15 + -8g = (-9 * -1 + 2g * -1)
15 + -8g = (9 + -2g)

Solving
15 + -8g = 9 + -2g

Solving for variable 'g'.

Move all terms containing g to the left, all other terms to the right.

Add '2g' to each side of the equation.
15 + -8g + 2g = 9 + -2g + 2g

Combine like terms: -8g + 2g = -6g
15 + -6g = 9 + -2g + 2g

Combine like terms: -2g + 2g = 0
15 + -6g = 9 + 0
15 + -6g = 9

Add '-15' to each side of the equation.
15 + -15 + -6g = 9 + -15

Combine like terms: 15 + -15 = 0
0 + -6g = 9 + -15
-6g = 9 + -15

Combine like terms: 9 + -15 = -6
-6g = -6

Divide each side by '-6'.
g = 1

Simplifying
g = 1