3[5-3(4-g)+2]=5[3(5g-4)+2]-26

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Solution for 3[5-3(4-g)+2]=5[3(5g-4)+2]-26 equation: 


Simplifying
3[5 + -3(4 + -1g) + 2] = 5[3(5g + -4) + 2] + -26
3[5 + (4 * -3 + -1g * -3) + 2] = 5[3(5g + -4) + 2] + -26
3[5 + (-12 + 3g) + 2] = 5[3(5g + -4) + 2] + -26

Reorder the terms:
3[5 + -12 + 2 + 3g] = 5[3(5g + -4) + 2] + -26

Combine like terms: 5 + -12 = -7
3[-7 + 2 + 3g] = 5[3(5g + -4) + 2] + -26

Combine like terms: -7 + 2 = -5
3[-5 + 3g] = 5[3(5g + -4) + 2] + -26
[-5 * 3 + 3g * 3] = 5[3(5g + -4) + 2] + -26
[-15 + 9g] = 5[3(5g + -4) + 2] + -26

Reorder the terms:
-15 + 9g = 5[3(-4 + 5g) + 2] + -26
-15 + 9g = 5[(-4 * 3 + 5g * 3) + 2] + -26
-15 + 9g = 5[(-12 + 15g) + 2] + -26

Reorder the terms:
-15 + 9g = 5[-12 + 2 + 15g] + -26

Combine like terms: -12 + 2 = -10
-15 + 9g = 5[-10 + 15g] + -26
-15 + 9g = [-10 * 5 + 15g * 5] + -26
-15 + 9g = [-50 + 75g] + -26

Reorder the terms:
-15 + 9g = -50 + -26 + 75g

Combine like terms: -50 + -26 = -76
-15 + 9g = -76 + 75g

Solving
-15 + 9g = -76 + 75g

Solving for variable 'g'.

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

Add '-75g' to each side of the equation.
-15 + 9g + -75g = -76 + 75g + -75g

Combine like terms: 9g + -75g = -66g
-15 + -66g = -76 + 75g + -75g

Combine like terms: 75g + -75g = 0
-15 + -66g = -76 + 0
-15 + -66g = -76

Add '15' to each side of the equation.
-15 + 15 + -66g = -76 + 15

Combine like terms: -15 + 15 = 0
0 + -66g = -76 + 15
-66g = -76 + 15

Combine like terms: -76 + 15 = -61
-66g = -61

Divide each side by '-66'.
g = 0.9242424242

Simplifying
g = 0.9242424242

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