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

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

Combine like terms: 3 + -5 = -2
15 + 45x + 20(-2 + 9x) = 875
15 + 45x + (-2 * 20 + 9x * 20) = 875
15 + 45x + (-40 + 180x) = 875

Reorder the terms:
15 + -40 + 45x + 180x = 875

Combine like terms: 15 + -40 = -25
-25 + 45x + 180x = 875

Combine like terms: 45x + 180x = 225x
-25 + 225x = 875

Solving
-25 + 225x = 875

Solving for variable 'x'.

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

Add '25' to each side of the equation.
-25 + 25 + 225x = 875 + 25

Combine like terms: -25 + 25 = 0
0 + 225x = 875 + 25
225x = 875 + 25

Combine like terms: 875 + 25 = 900
225x = 900

Divide each side by '225'.
x = 4

Simplifying
x = 4

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