(3x+1)+(6x+4)=11x-9

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Solution for (3x+1)+(6x+4)=11x-9 equation:


Simplifying
(3x + 1) + (6x + 4) = 11x + -9

Reorder the terms:
(1 + 3x) + (6x + 4) = 11x + -9

Remove parenthesis around (1 + 3x)
1 + 3x + (6x + 4) = 11x + -9

Reorder the terms:
1 + 3x + (4 + 6x) = 11x + -9

Remove parenthesis around (4 + 6x)
1 + 3x + 4 + 6x = 11x + -9

Reorder the terms:
1 + 4 + 3x + 6x = 11x + -9

Combine like terms: 1 + 4 = 5
5 + 3x + 6x = 11x + -9

Combine like terms: 3x + 6x = 9x
5 + 9x = 11x + -9

Reorder the terms:
5 + 9x = -9 + 11x

Solving
5 + 9x = -9 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
5 + 9x + -11x = -9 + 11x + -11x

Combine like terms: 9x + -11x = -2x
5 + -2x = -9 + 11x + -11x

Combine like terms: 11x + -11x = 0
5 + -2x = -9 + 0
5 + -2x = -9

Add '-5' to each side of the equation.
5 + -5 + -2x = -9 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = -9 + -5
-2x = -9 + -5

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

Divide each side by '-2'.
x = 7

Simplifying
x = 7

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