(x+5)+(x+5)+(x+5)=(2x-3)+(2x-3)+x+x

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Solution for (x+5)+(x+5)+(x+5)=(2x-3)+(2x-3)+x+x equation:


Simplifying
(x + 5) + (x + 5) + (x + 5) = (2x + -3) + (2x + -3) + x + x

Reorder the terms:
(5 + x) + (x + 5) + (x + 5) = (2x + -3) + (2x + -3) + x + x

Remove parenthesis around (5 + x)
5 + x + (x + 5) + (x + 5) = (2x + -3) + (2x + -3) + x + x

Reorder the terms:
5 + x + (5 + x) + (x + 5) = (2x + -3) + (2x + -3) + x + x

Remove parenthesis around (5 + x)
5 + x + 5 + x + (x + 5) = (2x + -3) + (2x + -3) + x + x

Reorder the terms:
5 + x + 5 + x + (5 + x) = (2x + -3) + (2x + -3) + x + x

Remove parenthesis around (5 + x)
5 + x + 5 + x + 5 + x = (2x + -3) + (2x + -3) + x + x

Reorder the terms:
5 + 5 + 5 + x + x + x = (2x + -3) + (2x + -3) + x + x

Combine like terms: 5 + 5 = 10
10 + 5 + x + x + x = (2x + -3) + (2x + -3) + x + x

Combine like terms: 10 + 5 = 15
15 + x + x + x = (2x + -3) + (2x + -3) + x + x

Combine like terms: x + x = 2x
15 + 2x + x = (2x + -3) + (2x + -3) + x + x

Combine like terms: 2x + x = 3x
15 + 3x = (2x + -3) + (2x + -3) + x + x

Reorder the terms:
15 + 3x = (-3 + 2x) + (2x + -3) + x + x

Remove parenthesis around (-3 + 2x)
15 + 3x = -3 + 2x + (2x + -3) + x + x

Reorder the terms:
15 + 3x = -3 + 2x + (-3 + 2x) + x + x

Remove parenthesis around (-3 + 2x)
15 + 3x = -3 + 2x + -3 + 2x + x + x

Reorder the terms:
15 + 3x = -3 + -3 + 2x + 2x + x + x

Combine like terms: -3 + -3 = -6
15 + 3x = -6 + 2x + 2x + x + x

Combine like terms: 2x + 2x = 4x
15 + 3x = -6 + 4x + x + x

Combine like terms: 4x + x = 5x
15 + 3x = -6 + 5x + x

Combine like terms: 5x + x = 6x
15 + 3x = -6 + 6x

Solving
15 + 3x = -6 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
15 + 3x + -6x = -6 + 6x + -6x

Combine like terms: 3x + -6x = -3x
15 + -3x = -6 + 6x + -6x

Combine like terms: 6x + -6x = 0
15 + -3x = -6 + 0
15 + -3x = -6

Add '-15' to each side of the equation.
15 + -15 + -3x = -6 + -15

Combine like terms: 15 + -15 = 0
0 + -3x = -6 + -15
-3x = -6 + -15

Combine like terms: -6 + -15 = -21
-3x = -21

Divide each side by '-3'.
x = 7

Simplifying
x = 7

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