(3x-2)+(7x+12)=50

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Solution for (3x-2)+(7x+12)=50 equation:


Simplifying
(3x + -2) + (7x + 12) = 50

Reorder the terms:
(-2 + 3x) + (7x + 12) = 50

Remove parenthesis around (-2 + 3x)
-2 + 3x + (7x + 12) = 50

Reorder the terms:
-2 + 3x + (12 + 7x) = 50

Remove parenthesis around (12 + 7x)
-2 + 3x + 12 + 7x = 50

Reorder the terms:
-2 + 12 + 3x + 7x = 50

Combine like terms: -2 + 12 = 10
10 + 3x + 7x = 50

Combine like terms: 3x + 7x = 10x
10 + 10x = 50

Solving
10 + 10x = 50

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 10x = 50 + -10

Combine like terms: 10 + -10 = 0
0 + 10x = 50 + -10
10x = 50 + -10

Combine like terms: 50 + -10 = 40
10x = 40

Divide each side by '10'.
x = 4

Simplifying
x = 4

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