(4x-2)+(5x+1)=2x+14

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Solution for (4x-2)+(5x+1)=2x+14 equation:


Simplifying
(4x + -2) + (5x + 1) = 2x + 14

Reorder the terms:
(-2 + 4x) + (5x + 1) = 2x + 14

Remove parenthesis around (-2 + 4x)
-2 + 4x + (5x + 1) = 2x + 14

Reorder the terms:
-2 + 4x + (1 + 5x) = 2x + 14

Remove parenthesis around (1 + 5x)
-2 + 4x + 1 + 5x = 2x + 14

Reorder the terms:
-2 + 1 + 4x + 5x = 2x + 14

Combine like terms: -2 + 1 = -1
-1 + 4x + 5x = 2x + 14

Combine like terms: 4x + 5x = 9x
-1 + 9x = 2x + 14

Reorder the terms:
-1 + 9x = 14 + 2x

Solving
-1 + 9x = 14 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-1 + 9x + -2x = 14 + 2x + -2x

Combine like terms: 9x + -2x = 7x
-1 + 7x = 14 + 2x + -2x

Combine like terms: 2x + -2x = 0
-1 + 7x = 14 + 0
-1 + 7x = 14

Add '1' to each side of the equation.
-1 + 1 + 7x = 14 + 1

Combine like terms: -1 + 1 = 0
0 + 7x = 14 + 1
7x = 14 + 1

Combine like terms: 14 + 1 = 15
7x = 15

Divide each side by '7'.
x = 2.142857143

Simplifying
x = 2.142857143

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