(2x+4)+(5x-2)=37

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Solution for (2x+4)+(5x-2)=37 equation:


Simplifying
(2x + 4) + (5x + -2) = 37

Reorder the terms:
(4 + 2x) + (5x + -2) = 37

Remove parenthesis around (4 + 2x)
4 + 2x + (5x + -2) = 37

Reorder the terms:
4 + 2x + (-2 + 5x) = 37

Remove parenthesis around (-2 + 5x)
4 + 2x + -2 + 5x = 37

Reorder the terms:
4 + -2 + 2x + 5x = 37

Combine like terms: 4 + -2 = 2
2 + 2x + 5x = 37

Combine like terms: 2x + 5x = 7x
2 + 7x = 37

Solving
2 + 7x = 37

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 7x = 37 + -2

Combine like terms: 2 + -2 = 0
0 + 7x = 37 + -2
7x = 37 + -2

Combine like terms: 37 + -2 = 35
7x = 35

Divide each side by '7'.
x = 5

Simplifying
x = 5

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