(2x-1)+(x+6)+(5x+4)+(4x)=45

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Solution for (2x-1)+(x+6)+(5x+4)+(4x)=45 equation:


Simplifying
(2x + -1) + (x + 6) + (5x + 4) + (4x) = 45

Reorder the terms:
(-1 + 2x) + (x + 6) + (5x + 4) + (4x) = 45

Remove parenthesis around (-1 + 2x)
-1 + 2x + (x + 6) + (5x + 4) + (4x) = 45

Reorder the terms:
-1 + 2x + (6 + x) + (5x + 4) + (4x) = 45

Remove parenthesis around (6 + x)
-1 + 2x + 6 + x + (5x + 4) + (4x) = 45

Reorder the terms:
-1 + 2x + 6 + x + (4 + 5x) + (4x) = 45

Remove parenthesis around (4 + 5x)
-1 + 2x + 6 + x + 4 + 5x + (4x) = 45

Reorder the terms:
-1 + 6 + 4 + 2x + x + 5x + (4x) = 45

Combine like terms: -1 + 6 = 5
5 + 4 + 2x + x + 5x + (4x) = 45

Combine like terms: 5 + 4 = 9
9 + 2x + x + 5x + (4x) = 45

Combine like terms: 2x + x = 3x
9 + 3x + 5x + (4x) = 45

Combine like terms: 3x + 5x = 8x
9 + 8x + (4x) = 45

Combine like terms: 8x + (4x) = 12x
9 + 12x = 45

Solving
9 + 12x = 45

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + 12x = 45 + -9

Combine like terms: 9 + -9 = 0
0 + 12x = 45 + -9
12x = 45 + -9

Combine like terms: 45 + -9 = 36
12x = 36

Divide each side by '12'.
x = 3

Simplifying
x = 3

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