(3x-2)+(x+10)=52

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Solution for (3x-2)+(x+10)=52 equation:


Simplifying
(3x + -2) + (x + 10) = 52

Reorder the terms:
(-2 + 3x) + (x + 10) = 52

Remove parenthesis around (-2 + 3x)
-2 + 3x + (x + 10) = 52

Reorder the terms:
-2 + 3x + (10 + x) = 52

Remove parenthesis around (10 + x)
-2 + 3x + 10 + x = 52

Reorder the terms:
-2 + 10 + 3x + x = 52

Combine like terms: -2 + 10 = 8
8 + 3x + x = 52

Combine like terms: 3x + x = 4x
8 + 4x = 52

Solving
8 + 4x = 52

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + 4x = 52 + -8

Combine like terms: 8 + -8 = 0
0 + 4x = 52 + -8
4x = 52 + -8

Combine like terms: 52 + -8 = 44
4x = 44

Divide each side by '4'.
x = 11

Simplifying
x = 11

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