x+(x+10)+x+(10+7)=48

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Solution for x+(x+10)+x+(10+7)=48 equation:


Simplifying
x + (x + 10) + x + (10 + 7) = 48

Reorder the terms:
x + (10 + x) + x + (10 + 7) = 48

Remove parenthesis around (10 + x)
x + 10 + x + x + (10 + 7) = 48

Combine like terms: 10 + 7 = 17
x + 10 + x + x + (17) = 48
x + 10 + x + x + 17 = 48

Reorder the terms:
10 + 17 + x + x + x = 48

Combine like terms: 10 + 17 = 27
27 + x + x + x = 48

Combine like terms: x + x = 2x
27 + 2x + x = 48

Combine like terms: 2x + x = 3x
27 + 3x = 48

Solving
27 + 3x = 48

Solving for variable 'x'.

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

Add '-27' to each side of the equation.
27 + -27 + 3x = 48 + -27

Combine like terms: 27 + -27 = 0
0 + 3x = 48 + -27
3x = 48 + -27

Combine like terms: 48 + -27 = 21
3x = 21

Divide each side by '3'.
x = 7

Simplifying
x = 7

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