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

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


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

Combine like terms: 5 + -12 = -7
5[-7 + 3z] + -5 = 5[3(5z + -4) + 2] + -26
[-7 * 5 + 3z * 5] + -5 = 5[3(5z + -4) + 2] + -26
[-35 + 15z] + -5 = 5[3(5z + -4) + 2] + -26

Reorder the terms:
-35 + -5 + 15z = 5[3(5z + -4) + 2] + -26

Combine like terms: -35 + -5 = -40
-40 + 15z = 5[3(5z + -4) + 2] + -26

Reorder the terms:
-40 + 15z = 5[3(-4 + 5z) + 2] + -26
-40 + 15z = 5[(-4 * 3 + 5z * 3) + 2] + -26
-40 + 15z = 5[(-12 + 15z) + 2] + -26

Reorder the terms:
-40 + 15z = 5[-12 + 2 + 15z] + -26

Combine like terms: -12 + 2 = -10
-40 + 15z = 5[-10 + 15z] + -26
-40 + 15z = [-10 * 5 + 15z * 5] + -26
-40 + 15z = [-50 + 75z] + -26

Reorder the terms:
-40 + 15z = -50 + -26 + 75z

Combine like terms: -50 + -26 = -76
-40 + 15z = -76 + 75z

Solving
-40 + 15z = -76 + 75z

Solving for variable 'z'.

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

Add '-75z' to each side of the equation.
-40 + 15z + -75z = -76 + 75z + -75z

Combine like terms: 15z + -75z = -60z
-40 + -60z = -76 + 75z + -75z

Combine like terms: 75z + -75z = 0
-40 + -60z = -76 + 0
-40 + -60z = -76

Add '40' to each side of the equation.
-40 + 40 + -60z = -76 + 40

Combine like terms: -40 + 40 = 0
0 + -60z = -76 + 40
-60z = -76 + 40

Combine like terms: -76 + 40 = -36
-60z = -36

Divide each side by '-60'.
z = 0.6

Simplifying
z = 0.6

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