(2x+3)+(4x-7)=14

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Solution for (2x+3)+(4x-7)=14 equation:


Simplifying
(2x + 3) + (4x + -7) = 14

Reorder the terms:
(3 + 2x) + (4x + -7) = 14

Remove parenthesis around (3 + 2x)
3 + 2x + (4x + -7) = 14

Reorder the terms:
3 + 2x + (-7 + 4x) = 14

Remove parenthesis around (-7 + 4x)
3 + 2x + -7 + 4x = 14

Reorder the terms:
3 + -7 + 2x + 4x = 14

Combine like terms: 3 + -7 = -4
-4 + 2x + 4x = 14

Combine like terms: 2x + 4x = 6x
-4 + 6x = 14

Solving
-4 + 6x = 14

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 + 6x = 14 + 4

Combine like terms: -4 + 4 = 0
0 + 6x = 14 + 4
6x = 14 + 4

Combine like terms: 14 + 4 = 18
6x = 18

Divide each side by '6'.
x = 3

Simplifying
x = 3

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