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

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


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

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

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

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

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

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

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

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

Combine like terms: 3x + x = 4x
-10 + 4x = 12

Solving
-10 + 4x = 12

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 + 4x = 12 + 10

Combine like terms: -10 + 10 = 0
0 + 4x = 12 + 10
4x = 12 + 10

Combine like terms: 12 + 10 = 22
4x = 22

Divide each side by '4'.
x = 5.5

Simplifying
x = 5.5

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