(2x-1)+(3x+5)+2x=53

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Solution for (2x-1)+(3x+5)+2x=53 equation:


Simplifying
(2x + -1) + (3x + 5) + 2x = 53

Reorder the terms:
(-1 + 2x) + (3x + 5) + 2x = 53

Remove parenthesis around (-1 + 2x)
-1 + 2x + (3x + 5) + 2x = 53

Reorder the terms:
-1 + 2x + (5 + 3x) + 2x = 53

Remove parenthesis around (5 + 3x)
-1 + 2x + 5 + 3x + 2x = 53

Reorder the terms:
-1 + 5 + 2x + 3x + 2x = 53

Combine like terms: -1 + 5 = 4
4 + 2x + 3x + 2x = 53

Combine like terms: 2x + 3x = 5x
4 + 5x + 2x = 53

Combine like terms: 5x + 2x = 7x
4 + 7x = 53

Solving
4 + 7x = 53

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + 7x = 53 + -4

Combine like terms: 4 + -4 = 0
0 + 7x = 53 + -4
7x = 53 + -4

Combine like terms: 53 + -4 = 49
7x = 49

Divide each side by '7'.
x = 7

Simplifying
x = 7

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