4(2g-3)=5(3g-4)

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Solution for 4(2g-3)=5(3g-4) equation:


Simplifying
4(2g + -3) = 5(3g + -4)

Reorder the terms:
4(-3 + 2g) = 5(3g + -4)
(-3 * 4 + 2g * 4) = 5(3g + -4)
(-12 + 8g) = 5(3g + -4)

Reorder the terms:
-12 + 8g = 5(-4 + 3g)
-12 + 8g = (-4 * 5 + 3g * 5)
-12 + 8g = (-20 + 15g)

Solving
-12 + 8g = -20 + 15g

Solving for variable 'g'.

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

Add '-15g' to each side of the equation.
-12 + 8g + -15g = -20 + 15g + -15g

Combine like terms: 8g + -15g = -7g
-12 + -7g = -20 + 15g + -15g

Combine like terms: 15g + -15g = 0
-12 + -7g = -20 + 0
-12 + -7g = -20

Add '12' to each side of the equation.
-12 + 12 + -7g = -20 + 12

Combine like terms: -12 + 12 = 0
0 + -7g = -20 + 12
-7g = -20 + 12

Combine like terms: -20 + 12 = -8
-7g = -8

Divide each side by '-7'.
g = 1.142857143

Simplifying
g = 1.142857143

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