2(x+x+2)-(x+4+x+6)=96

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Solution for 2(x+x+2)-(x+4+x+6)=96 equation:


Simplifying
2(x + x + 2) + -1(x + 4 + x + 6) = 96

Reorder the terms:
2(2 + x + x) + -1(x + 4 + x + 6) = 96

Combine like terms: x + x = 2x
2(2 + 2x) + -1(x + 4 + x + 6) = 96
(2 * 2 + 2x * 2) + -1(x + 4 + x + 6) = 96
(4 + 4x) + -1(x + 4 + x + 6) = 96

Reorder the terms:
4 + 4x + -1(4 + 6 + x + x) = 96

Combine like terms: 4 + 6 = 10
4 + 4x + -1(10 + x + x) = 96

Combine like terms: x + x = 2x
4 + 4x + -1(10 + 2x) = 96
4 + 4x + (10 * -1 + 2x * -1) = 96
4 + 4x + (-10 + -2x) = 96

Reorder the terms:
4 + -10 + 4x + -2x = 96

Combine like terms: 4 + -10 = -6
-6 + 4x + -2x = 96

Combine like terms: 4x + -2x = 2x
-6 + 2x = 96

Solving
-6 + 2x = 96

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 2x = 96 + 6

Combine like terms: -6 + 6 = 0
0 + 2x = 96 + 6
2x = 96 + 6

Combine like terms: 96 + 6 = 102
2x = 102

Divide each side by '2'.
x = 51

Simplifying
x = 51

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