(2x+5)+(5x-7)=18

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Solution for (2x+5)+(5x-7)=18 equation:


Simplifying
(2x + 5) + (5x + -7) = 18

Reorder the terms:
(5 + 2x) + (5x + -7) = 18

Remove parenthesis around (5 + 2x)
5 + 2x + (5x + -7) = 18

Reorder the terms:
5 + 2x + (-7 + 5x) = 18

Remove parenthesis around (-7 + 5x)
5 + 2x + -7 + 5x = 18

Reorder the terms:
5 + -7 + 2x + 5x = 18

Combine like terms: 5 + -7 = -2
-2 + 2x + 5x = 18

Combine like terms: 2x + 5x = 7x
-2 + 7x = 18

Solving
-2 + 7x = 18

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 = 18 + 2

Combine like terms: -2 + 2 = 0
0 + 7x = 18 + 2
7x = 18 + 2

Combine like terms: 18 + 2 = 20
7x = 20

Divide each side by '7'.
x = 2.857142857

Simplifying
x = 2.857142857

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