(2x-3)+(x+7)=42

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Solution for (2x-3)+(x+7)=42 equation:


Simplifying
(2x + -3) + (x + 7) = 42

Reorder the terms:
(-3 + 2x) + (x + 7) = 42

Remove parenthesis around (-3 + 2x)
-3 + 2x + (x + 7) = 42

Reorder the terms:
-3 + 2x + (7 + x) = 42

Remove parenthesis around (7 + x)
-3 + 2x + 7 + x = 42

Reorder the terms:
-3 + 7 + 2x + x = 42

Combine like terms: -3 + 7 = 4
4 + 2x + x = 42

Combine like terms: 2x + x = 3x
4 + 3x = 42

Solving
4 + 3x = 42

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 + 3x = 42 + -4

Combine like terms: 4 + -4 = 0
0 + 3x = 42 + -4
3x = 42 + -4

Combine like terms: 42 + -4 = 38
3x = 38

Divide each side by '3'.
x = 12.66666667

Simplifying
x = 12.66666667

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