(6x-10)+(3x+11)=2x-14

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Solution for (6x-10)+(3x+11)=2x-14 equation:


Simplifying
(6x + -10) + (3x + 11) = 2x + -14

Reorder the terms:
(-10 + 6x) + (3x + 11) = 2x + -14

Remove parenthesis around (-10 + 6x)
-10 + 6x + (3x + 11) = 2x + -14

Reorder the terms:
-10 + 6x + (11 + 3x) = 2x + -14

Remove parenthesis around (11 + 3x)
-10 + 6x + 11 + 3x = 2x + -14

Reorder the terms:
-10 + 11 + 6x + 3x = 2x + -14

Combine like terms: -10 + 11 = 1
1 + 6x + 3x = 2x + -14

Combine like terms: 6x + 3x = 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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