(6x+8)+(4x+11)=(11x+7)

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Solution for (6x+8)+(4x+11)=(11x+7) equation:


Simplifying
(6x + 8) + (4x + 11) = (11x + 7)

Reorder the terms:
(8 + 6x) + (4x + 11) = (11x + 7)

Remove parenthesis around (8 + 6x)
8 + 6x + (4x + 11) = (11x + 7)

Reorder the terms:
8 + 6x + (11 + 4x) = (11x + 7)

Remove parenthesis around (11 + 4x)
8 + 6x + 11 + 4x = (11x + 7)

Reorder the terms:
8 + 11 + 6x + 4x = (11x + 7)

Combine like terms: 8 + 11 = 19
19 + 6x + 4x = (11x + 7)

Combine like terms: 6x + 4x = 10x
19 + 10x = (11x + 7)

Reorder the terms:
19 + 10x = (7 + 11x)

Remove parenthesis around (7 + 11x)
19 + 10x = 7 + 11x

Solving
19 + 10x = 7 + 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.
19 + 10x + -11x = 7 + 11x + -11x

Combine like terms: 10x + -11x = -1x
19 + -1x = 7 + 11x + -11x

Combine like terms: 11x + -11x = 0
19 + -1x = 7 + 0
19 + -1x = 7

Add '-19' to each side of the equation.
19 + -19 + -1x = 7 + -19

Combine like terms: 19 + -19 = 0
0 + -1x = 7 + -19
-1x = 7 + -19

Combine like terms: 7 + -19 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12

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