3[5-3(4-c)]-5=5[3(5c-4)+2]-22

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Solution for 3[5-3(4-c)]-5=5[3(5c-4)+2]-22 equation: 


Simplifying
3[5 + -3(4 + -1c)] + -5 = 5[3(5c + -4) + 2] + -22
3[5 + (4 * -3 + -1c * -3)] + -5 = 5[3(5c + -4) + 2] + -22
3[5 + (-12 + 3c)] + -5 = 5[3(5c + -4) + 2] + -22

Combine like terms: 5 + -12 = -7
3[-7 + 3c] + -5 = 5[3(5c + -4) + 2] + -22
[-7 * 3 + 3c * 3] + -5 = 5[3(5c + -4) + 2] + -22
[-21 + 9c] + -5 = 5[3(5c + -4) + 2] + -22

Reorder the terms:
-21 + -5 + 9c = 5[3(5c + -4) + 2] + -22

Combine like terms: -21 + -5 = -26
-26 + 9c = 5[3(5c + -4) + 2] + -22

Reorder the terms:
-26 + 9c = 5[3(-4 + 5c) + 2] + -22
-26 + 9c = 5[(-4 * 3 + 5c * 3) + 2] + -22
-26 + 9c = 5[(-12 + 15c) + 2] + -22

Reorder the terms:
-26 + 9c = 5[-12 + 2 + 15c] + -22

Combine like terms: -12 + 2 = -10
-26 + 9c = 5[-10 + 15c] + -22
-26 + 9c = [-10 * 5 + 15c * 5] + -22
-26 + 9c = [-50 + 75c] + -22

Reorder the terms:
-26 + 9c = -50 + -22 + 75c

Combine like terms: -50 + -22 = -72
-26 + 9c = -72 + 75c

Solving
-26 + 9c = -72 + 75c

Solving for variable 'c'.

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

Add '-75c' to each side of the equation.
-26 + 9c + -75c = -72 + 75c + -75c

Combine like terms: 9c + -75c = -66c
-26 + -66c = -72 + 75c + -75c

Combine like terms: 75c + -75c = 0
-26 + -66c = -72 + 0
-26 + -66c = -72

Add '26' to each side of the equation.
-26 + 26 + -66c = -72 + 26

Combine like terms: -26 + 26 = 0
0 + -66c = -72 + 26
-66c = -72 + 26

Combine like terms: -72 + 26 = -46
-66c = -46

Divide each side by '-66'.
c = 0.696969697

Simplifying
c = 0.696969697

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