(3x-9)+(2x+5)+(4x-1)=49

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Solution for (3x-9)+(2x+5)+(4x-1)=49 equation:


Simplifying
(3x + -9) + (2x + 5) + (4x + -1) = 49

Reorder the terms:
(-9 + 3x) + (2x + 5) + (4x + -1) = 49

Remove parenthesis around (-9 + 3x)
-9 + 3x + (2x + 5) + (4x + -1) = 49

Reorder the terms:
-9 + 3x + (5 + 2x) + (4x + -1) = 49

Remove parenthesis around (5 + 2x)
-9 + 3x + 5 + 2x + (4x + -1) = 49

Reorder the terms:
-9 + 3x + 5 + 2x + (-1 + 4x) = 49

Remove parenthesis around (-1 + 4x)
-9 + 3x + 5 + 2x + -1 + 4x = 49

Reorder the terms:
-9 + 5 + -1 + 3x + 2x + 4x = 49

Combine like terms: -9 + 5 = -4
-4 + -1 + 3x + 2x + 4x = 49

Combine like terms: -4 + -1 = -5
-5 + 3x + 2x + 4x = 49

Combine like terms: 3x + 2x = 5x
-5 + 5x + 4x = 49

Combine like terms: 5x + 4x = 9x
-5 + 9x = 49

Solving
-5 + 9x = 49

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 9x = 49 + 5

Combine like terms: -5 + 5 = 0
0 + 9x = 49 + 5
9x = 49 + 5

Combine like terms: 49 + 5 = 54
9x = 54

Divide each side by '9'.
x = 6

Simplifying
x = 6

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