(2x-7)+(4x+3)=12

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Solution for (2x-7)+(4x+3)=12 equation:


Simplifying
(2x + -7) + (4x + 3) = 12

Reorder the terms:
(-7 + 2x) + (4x + 3) = 12

Remove parenthesis around (-7 + 2x)
-7 + 2x + (4x + 3) = 12

Reorder the terms:
-7 + 2x + (3 + 4x) = 12

Remove parenthesis around (3 + 4x)
-7 + 2x + 3 + 4x = 12

Reorder the terms:
-7 + 3 + 2x + 4x = 12

Combine like terms: -7 + 3 = -4
-4 + 2x + 4x = 12

Combine like terms: 2x + 4x = 6x
-4 + 6x = 12

Solving
-4 + 6x = 12

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 6x = 12 + 4

Combine like terms: -4 + 4 = 0
0 + 6x = 12 + 4
6x = 12 + 4

Combine like terms: 12 + 4 = 16
6x = 16

Divide each side by '6'.
x = 2.666666667

Simplifying
x = 2.666666667

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