(4x+2)-(12x+8)+2(5x+3)=16

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Solution for (4x+2)-(12x+8)+2(5x+3)=16 equation:


Simplifying
(4x + 2) + -1(12x + 8) + 2(5x + 3) = 16

Reorder the terms:
(2 + 4x) + -1(12x + 8) + 2(5x + 3) = 16

Remove parenthesis around (2 + 4x)
2 + 4x + -1(12x + 8) + 2(5x + 3) = 16

Reorder the terms:
2 + 4x + -1(8 + 12x) + 2(5x + 3) = 16
2 + 4x + (8 * -1 + 12x * -1) + 2(5x + 3) = 16
2 + 4x + (-8 + -12x) + 2(5x + 3) = 16

Reorder the terms:
2 + 4x + -8 + -12x + 2(3 + 5x) = 16
2 + 4x + -8 + -12x + (3 * 2 + 5x * 2) = 16
2 + 4x + -8 + -12x + (6 + 10x) = 16

Reorder the terms:
2 + -8 + 6 + 4x + -12x + 10x = 16

Combine like terms: 2 + -8 = -6
-6 + 6 + 4x + -12x + 10x = 16

Combine like terms: -6 + 6 = 0
0 + 4x + -12x + 10x = 16
4x + -12x + 10x = 16

Combine like terms: 4x + -12x = -8x
-8x + 10x = 16

Combine like terms: -8x + 10x = 2x
2x = 16

Solving
2x = 16

Solving for variable 'x'.

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

Divide each side by '2'.
x = 8

Simplifying
x = 8

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