(5x+10)+(5x+9)+(5x)=(5x)+(5x)+(6x+15)

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Solution for (5x+10)+(5x+9)+(5x)=(5x)+(5x)+(6x+15) equation:


Simplifying
(5x + 10) + (5x + 9) + (5x) = (5x) + (5x) + (6x + 15)

Reorder the terms:
(10 + 5x) + (5x + 9) + (5x) = (5x) + (5x) + (6x + 15)

Remove parenthesis around (10 + 5x)
10 + 5x + (5x + 9) + (5x) = (5x) + (5x) + (6x + 15)

Reorder the terms:
10 + 5x + (9 + 5x) + (5x) = (5x) + (5x) + (6x + 15)

Remove parenthesis around (9 + 5x)
10 + 5x + 9 + 5x + (5x) = (5x) + (5x) + (6x + 15)

Reorder the terms:
10 + 9 + 5x + 5x + (5x) = (5x) + (5x) + (6x + 15)

Combine like terms: 10 + 9 = 19
19 + 5x + 5x + (5x) = (5x) + (5x) + (6x + 15)

Combine like terms: 5x + 5x = 10x
19 + 10x + (5x) = (5x) + (5x) + (6x + 15)

Combine like terms: 10x + (5x) = 15x
19 + 15x = (5x) + (5x) + (6x + 15)

Reorder the terms:
19 + 15x = (5x) + (5x) + (15 + 6x)

Remove parenthesis around (15 + 6x)
19 + 15x = (5x) + (5x) + 15 + 6x

Reorder the terms:
19 + 15x = 15 + (5x) + (5x) + 6x

Combine like terms: (5x) + (5x) = 10x
19 + 15x = 15 + 10x + 6x

Combine like terms: 10x + 6x = 16x
19 + 15x = 15 + 16x

Solving
19 + 15x = 15 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
19 + 15x + -16x = 15 + 16x + -16x

Combine like terms: 15x + -16x = -1x
19 + -1x = 15 + 16x + -16x

Combine like terms: 16x + -16x = 0
19 + -1x = 15 + 0
19 + -1x = 15

Add '-19' to each side of the equation.
19 + -19 + -1x = 15 + -19

Combine like terms: 19 + -19 = 0
0 + -1x = 15 + -19
-1x = 15 + -19

Combine like terms: 15 + -19 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

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