(4x+7)+(2x+9)=(7x-4)

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


Simplifying
(4x + 7) + (2x + 9) = (7x + -4)

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

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

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

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

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

Combine like terms: 7 + 9 = 16
16 + 4x + 2x = (7x + -4)

Combine like terms: 4x + 2x = 6x
16 + 6x = (7x + -4)

Reorder the terms:
16 + 6x = (-4 + 7x)

Remove parenthesis around (-4 + 7x)
16 + 6x = -4 + 7x

Solving
16 + 6x = -4 + 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.
16 + 6x + -7x = -4 + 7x + -7x

Combine like terms: 6x + -7x = -1x
16 + -1x = -4 + 7x + -7x

Combine like terms: 7x + -7x = 0
16 + -1x = -4 + 0
16 + -1x = -4

Add '-16' to each side of the equation.
16 + -16 + -1x = -4 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = -4 + -16
-1x = -4 + -16

Combine like terms: -4 + -16 = -20
-1x = -20

Divide each side by '-1'.
x = 20

Simplifying
x = 20

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