(4x+11)+(2x+19)=(7x+9)

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Solution for (4x+11)+(2x+19)=(7x+9) equation:


Simplifying
(4x + 11) + (2x + 19) = (7x + 9)

Reorder the terms:
(11 + 4x) + (2x + 19) = (7x + 9)

Remove parenthesis around (11 + 4x)
11 + 4x + (2x + 19) = (7x + 9)

Reorder the terms:
11 + 4x + (19 + 2x) = (7x + 9)

Remove parenthesis around (19 + 2x)
11 + 4x + 19 + 2x = (7x + 9)

Reorder the terms:
11 + 19 + 4x + 2x = (7x + 9)

Combine like terms: 11 + 19 = 30
30 + 4x + 2x = (7x + 9)

Combine like terms: 4x + 2x = 6x
30 + 6x = (7x + 9)

Reorder the terms:
30 + 6x = (9 + 7x)

Remove parenthesis around (9 + 7x)
30 + 6x = 9 + 7x

Solving
30 + 6x = 9 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
30 + 6x + -7x = 9 + 7x + -7x

Combine like terms: 6x + -7x = -1x
30 + -1x = 9 + 7x + -7x

Combine like terms: 7x + -7x = 0
30 + -1x = 9 + 0
30 + -1x = 9

Add '-30' to each side of the equation.
30 + -30 + -1x = 9 + -30

Combine like terms: 30 + -30 = 0
0 + -1x = 9 + -30
-1x = 9 + -30

Combine like terms: 9 + -30 = -21
-1x = -21

Divide each side by '-1'.
x = 21

Simplifying
x = 21

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