3[5-3(4-9)]-5=5[3(5q-4)+2]-26

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Solution for 3[5-3(4-9)]-5=5[3(5q-4)+2]-26 equation:


Simplifying
3[5 + -3(4 + -9)] + -5 = 5[3(5q + -4) + 2] + -26

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

Multiply -3 * -5
3[5 + 15] + -5 = 5[3(5q + -4) + 2] + -26

Combine like terms: 5 + 15 = 20
3[20] + -5 = 5[3(5q + -4) + 2] + -26

Multiply 3 * 20
60 + -5 = 5[3(5q + -4) + 2] + -26

Combine like terms: 60 + -5 = 55
55 = 5[3(5q + -4) + 2] + -26

Reorder the terms:
55 = 5[3(-4 + 5q) + 2] + -26
55 = 5[(-4 * 3 + 5q * 3) + 2] + -26
55 = 5[(-12 + 15q) + 2] + -26

Reorder the terms:
55 = 5[-12 + 2 + 15q] + -26

Combine like terms: -12 + 2 = -10
55 = 5[-10 + 15q] + -26
55 = [-10 * 5 + 15q * 5] + -26
55 = [-50 + 75q] + -26

Reorder the terms:
55 = -50 + -26 + 75q

Combine like terms: -50 + -26 = -76
55 = -76 + 75q

Solving
55 = -76 + 75q

Solving for variable 'q'.

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

Add '-75q' to each side of the equation.
55 + -75q = -76 + 75q + -75q

Combine like terms: 75q + -75q = 0
55 + -75q = -76 + 0
55 + -75q = -76

Add '-55' to each side of the equation.
55 + -55 + -75q = -76 + -55

Combine like terms: 55 + -55 = 0
0 + -75q = -76 + -55
-75q = -76 + -55

Combine like terms: -76 + -55 = -131
-75q = -131

Divide each side by '-75'.
q = 1.746666667

Simplifying
q = 1.746666667

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