4(4x+2)+2(3x-1)=x+6

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Solution for 4(4x+2)+2(3x-1)=x+6 equation:


Simplifying
4(4x + 2) + 2(3x + -1) = x + 6

Reorder the terms:
4(2 + 4x) + 2(3x + -1) = x + 6
(2 * 4 + 4x * 4) + 2(3x + -1) = x + 6
(8 + 16x) + 2(3x + -1) = x + 6

Reorder the terms:
8 + 16x + 2(-1 + 3x) = x + 6
8 + 16x + (-1 * 2 + 3x * 2) = x + 6
8 + 16x + (-2 + 6x) = x + 6

Reorder the terms:
8 + -2 + 16x + 6x = x + 6

Combine like terms: 8 + -2 = 6
6 + 16x + 6x = x + 6

Combine like terms: 16x + 6x = 22x
6 + 22x = x + 6

Reorder the terms:
6 + 22x = 6 + x

Add '-6' to each side of the equation.
6 + -6 + 22x = 6 + -6 + x

Combine like terms: 6 + -6 = 0
0 + 22x = 6 + -6 + x
22x = 6 + -6 + x

Combine like terms: 6 + -6 = 0
22x = 0 + x
22x = x

Solving
22x = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
22x + -1x = x + -1x

Combine like terms: 22x + -1x = 21x
21x = x + -1x

Combine like terms: x + -1x = 0
21x = 0

Divide each side by '21'.
x = 0

Simplifying
x = 0

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