2x+(5x-2)+(3x-4)=14

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Solution for 2x+(5x-2)+(3x-4)=14 equation:


Simplifying
2x + (5x + -2) + (3x + -4) = 14

Reorder the terms:
2x + (-2 + 5x) + (3x + -4) = 14

Remove parenthesis around (-2 + 5x)
2x + -2 + 5x + (3x + -4) = 14

Reorder the terms:
2x + -2 + 5x + (-4 + 3x) = 14

Remove parenthesis around (-4 + 3x)
2x + -2 + 5x + -4 + 3x = 14

Reorder the terms:
-2 + -4 + 2x + 5x + 3x = 14

Combine like terms: -2 + -4 = -6
-6 + 2x + 5x + 3x = 14

Combine like terms: 2x + 5x = 7x
-6 + 7x + 3x = 14

Combine like terms: 7x + 3x = 10x
-6 + 10x = 14

Solving
-6 + 10x = 14

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 10x = 14 + 6

Combine like terms: -6 + 6 = 0
0 + 10x = 14 + 6
10x = 14 + 6

Combine like terms: 14 + 6 = 20
10x = 20

Divide each side by '10'.
x = 2

Simplifying
x = 2

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