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

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


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

Combine like terms: 5 + -12 = -7
3[-7 + 3a] + -5 = 5[3(5a + -4) + 2] + -26
[-7 * 3 + 3a * 3] + -5 = 5[3(5a + -4) + 2] + -26
[-21 + 9a] + -5 = 5[3(5a + -4) + 2] + -26

Reorder the terms:
-21 + -5 + 9a = 5[3(5a + -4) + 2] + -26

Combine like terms: -21 + -5 = -26
-26 + 9a = 5[3(5a + -4) + 2] + -26

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

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

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

Reorder the terms:
-26 + 9a = -50 + -26 + 75a

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

Solving
-26 + 9a = -76 + 75a

Solving for variable 'a'.

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

Add '-75a' to each side of the equation.
-26 + 9a + -75a = -76 + 75a + -75a

Combine like terms: 9a + -75a = -66a
-26 + -66a = -76 + 75a + -75a

Combine like terms: 75a + -75a = 0
-26 + -66a = -76 + 0
-26 + -66a = -76

Add '26' to each side of the equation.
-26 + 26 + -66a = -76 + 26

Combine like terms: -26 + 26 = 0
0 + -66a = -76 + 26
-66a = -76 + 26

Combine like terms: -76 + 26 = -50
-66a = -50

Divide each side by '-66'.
a = 0.7575757576

Simplifying
a = 0.7575757576

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