(7x+12)=(4x+14)+(2x+17)

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Solution for (7x+12)=(4x+14)+(2x+17) equation:


Simplifying
(7x + 12) = (4x + 14) + (2x + 17)

Reorder the terms:
(12 + 7x) = (4x + 14) + (2x + 17)

Remove parenthesis around (12 + 7x)
12 + 7x = (4x + 14) + (2x + 17)

Reorder the terms:
12 + 7x = (14 + 4x) + (2x + 17)

Remove parenthesis around (14 + 4x)
12 + 7x = 14 + 4x + (2x + 17)

Reorder the terms:
12 + 7x = 14 + 4x + (17 + 2x)

Remove parenthesis around (17 + 2x)
12 + 7x = 14 + 4x + 17 + 2x

Reorder the terms:
12 + 7x = 14 + 17 + 4x + 2x

Combine like terms: 14 + 17 = 31
12 + 7x = 31 + 4x + 2x

Combine like terms: 4x + 2x = 6x
12 + 7x = 31 + 6x

Solving
12 + 7x = 31 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
12 + 7x + -6x = 31 + 6x + -6x

Combine like terms: 7x + -6x = 1x
12 + 1x = 31 + 6x + -6x

Combine like terms: 6x + -6x = 0
12 + 1x = 31 + 0
12 + 1x = 31

Add '-12' to each side of the equation.
12 + -12 + 1x = 31 + -12

Combine like terms: 12 + -12 = 0
0 + 1x = 31 + -12
1x = 31 + -12

Combine like terms: 31 + -12 = 19
1x = 19

Divide each side by '1'.
x = 19

Simplifying
x = 19

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