(8x+7)+(4x+14)=13x+12

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Solution for (8x+7)+(4x+14)=13x+12 equation:


Simplifying
(8x + 7) + (4x + 14) = 13x + 12

Reorder the terms:
(7 + 8x) + (4x + 14) = 13x + 12

Remove parenthesis around (7 + 8x)
7 + 8x + (4x + 14) = 13x + 12

Reorder the terms:
7 + 8x + (14 + 4x) = 13x + 12

Remove parenthesis around (14 + 4x)
7 + 8x + 14 + 4x = 13x + 12

Reorder the terms:
7 + 14 + 8x + 4x = 13x + 12

Combine like terms: 7 + 14 = 21
21 + 8x + 4x = 13x + 12

Combine like terms: 8x + 4x = 12x
21 + 12x = 13x + 12

Reorder the terms:
21 + 12x = 12 + 13x

Solving
21 + 12x = 12 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
21 + 12x + -13x = 12 + 13x + -13x

Combine like terms: 12x + -13x = -1x
21 + -1x = 12 + 13x + -13x

Combine like terms: 13x + -13x = 0
21 + -1x = 12 + 0
21 + -1x = 12

Add '-21' to each side of the equation.
21 + -21 + -1x = 12 + -21

Combine like terms: 21 + -21 = 0
0 + -1x = 12 + -21
-1x = 12 + -21

Combine like terms: 12 + -21 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9

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