(16x-5x-1)-(4x+6)=4x+12

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Solution for (16x-5x-1)-(4x+6)=4x+12 equation:


Simplifying
(16x + -5x + -1) + -1(4x + 6) = 4x + 12

Reorder the terms:
(-1 + 16x + -5x) + -1(4x + 6) = 4x + 12

Combine like terms: 16x + -5x = 11x
(-1 + 11x) + -1(4x + 6) = 4x + 12

Remove parenthesis around (-1 + 11x)
-1 + 11x + -1(4x + 6) = 4x + 12

Reorder the terms:
-1 + 11x + -1(6 + 4x) = 4x + 12
-1 + 11x + (6 * -1 + 4x * -1) = 4x + 12
-1 + 11x + (-6 + -4x) = 4x + 12

Reorder the terms:
-1 + -6 + 11x + -4x = 4x + 12

Combine like terms: -1 + -6 = -7
-7 + 11x + -4x = 4x + 12

Combine like terms: 11x + -4x = 7x
-7 + 7x = 4x + 12

Reorder the terms:
-7 + 7x = 12 + 4x

Solving
-7 + 7x = 12 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-7 + 7x + -4x = 12 + 4x + -4x

Combine like terms: 7x + -4x = 3x
-7 + 3x = 12 + 4x + -4x

Combine like terms: 4x + -4x = 0
-7 + 3x = 12 + 0
-7 + 3x = 12

Add '7' to each side of the equation.
-7 + 7 + 3x = 12 + 7

Combine like terms: -7 + 7 = 0
0 + 3x = 12 + 7
3x = 12 + 7

Combine like terms: 12 + 7 = 19
3x = 19

Divide each side by '3'.
x = 6.333333333

Simplifying
x = 6.333333333

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