15(3x+1)+20(3(3x+1))-5=875

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Solution for 15(3x+1)+20(3(3x+1))-5=875 equation: 


Simplifying
15(3x + 1) + 20(3(3x + 1)) + -5 = 875

Reorder the terms:
15(1 + 3x) + 20(3(3x + 1)) + -5 = 875
(1 * 15 + 3x * 15) + 20(3(3x + 1)) + -5 = 875
(15 + 45x) + 20(3(3x + 1)) + -5 = 875

Reorder the terms:
15 + 45x + 20(3(1 + 3x)) + -5 = 875
15 + 45x + 20((1 * 3 + 3x * 3)) + -5 = 875
15 + 45x + 20((3 + 9x)) + -5 = 875
15 + 45x + (3 * 20 + 9x * 20) + -5 = 875
15 + 45x + (60 + 180x) + -5 = 875

Reorder the terms:
15 + 60 + -5 + 45x + 180x = 875

Combine like terms: 15 + 60 = 75
75 + -5 + 45x + 180x = 875

Combine like terms: 75 + -5 = 70
70 + 45x + 180x = 875

Combine like terms: 45x + 180x = 225x
70 + 225x = 875

Solving
70 + 225x = 875

Solving for variable 'x'.

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

Add '-70' to each side of the equation.
70 + -70 + 225x = 875 + -70

Combine like terms: 70 + -70 = 0
0 + 225x = 875 + -70
225x = 875 + -70

Combine like terms: 875 + -70 = 805
225x = 805

Divide each side by '225'.
x = 3.577777778

Simplifying
x = 3.577777778

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