2-4(x+10x)+12=2(3x+10)+36

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Solution for 2-4(x+10x)+12=2(3x+10)+36 equation:


Simplifying
2 + -4(x + 10x) + 12 = 2(3x + 10) + 36

Combine like terms: x + 10x = 11x
2 + -4(11x) + 12 = 2(3x + 10) + 36

Remove parenthesis around (11x)
2 + -4 * 11x + 12 = 2(3x + 10) + 36

Multiply -4 * 11
2 + -44x + 12 = 2(3x + 10) + 36

Reorder the terms:
2 + 12 + -44x = 2(3x + 10) + 36

Combine like terms: 2 + 12 = 14
14 + -44x = 2(3x + 10) + 36

Reorder the terms:
14 + -44x = 2(10 + 3x) + 36
14 + -44x = (10 * 2 + 3x * 2) + 36
14 + -44x = (20 + 6x) + 36

Reorder the terms:
14 + -44x = 20 + 36 + 6x

Combine like terms: 20 + 36 = 56
14 + -44x = 56 + 6x

Solving
14 + -44x = 56 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
14 + -44x + -6x = 56 + 6x + -6x

Combine like terms: -44x + -6x = -50x
14 + -50x = 56 + 6x + -6x

Combine like terms: 6x + -6x = 0
14 + -50x = 56 + 0
14 + -50x = 56

Add '-14' to each side of the equation.
14 + -14 + -50x = 56 + -14

Combine like terms: 14 + -14 = 0
0 + -50x = 56 + -14
-50x = 56 + -14

Combine like terms: 56 + -14 = 42
-50x = 42

Divide each side by '-50'.
x = -0.84

Simplifying
x = -0.84

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