12x+7=(4x+11)+(7x+8)

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Solution for 12x+7=(4x+11)+(7x+8) equation:


Simplifying
12x + 7 = (4x + 11) + (7x + 8)

Reorder the terms:
7 + 12x = (4x + 11) + (7x + 8)

Reorder the terms:
7 + 12x = (11 + 4x) + (7x + 8)

Remove parenthesis around (11 + 4x)
7 + 12x = 11 + 4x + (7x + 8)

Reorder the terms:
7 + 12x = 11 + 4x + (8 + 7x)

Remove parenthesis around (8 + 7x)
7 + 12x = 11 + 4x + 8 + 7x

Reorder the terms:
7 + 12x = 11 + 8 + 4x + 7x

Combine like terms: 11 + 8 = 19
7 + 12x = 19 + 4x + 7x

Combine like terms: 4x + 7x = 11x
7 + 12x = 19 + 11x

Solving
7 + 12x = 19 + 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.
7 + 12x + -11x = 19 + 11x + -11x

Combine like terms: 12x + -11x = 1x
7 + 1x = 19 + 11x + -11x

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

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

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

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

Divide each side by '1'.
x = 12

Simplifying
x = 12

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