(4x+2)-12x+8+2(5x-3)=6+11

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Solution for (4x+2)-12x+8+2(5x-3)=6+11 equation: 


Simplifying
(4x + 2) + -12x + 8 + 2(5x + -3) = 6 + 11

Reorder the terms:
(2 + 4x) + -12x + 8 + 2(5x + -3) = 6 + 11

Remove parenthesis around (2 + 4x)
2 + 4x + -12x + 8 + 2(5x + -3) = 6 + 11

Reorder the terms:
2 + 4x + -12x + 8 + 2(-3 + 5x) = 6 + 11
2 + 4x + -12x + 8 + (-3 * 2 + 5x * 2) = 6 + 11
2 + 4x + -12x + 8 + (-6 + 10x) = 6 + 11

Reorder the terms:
2 + 8 + -6 + 4x + -12x + 10x = 6 + 11

Combine like terms: 2 + 8 = 10
10 + -6 + 4x + -12x + 10x = 6 + 11

Combine like terms: 10 + -6 = 4
4 + 4x + -12x + 10x = 6 + 11

Combine like terms: 4x + -12x = -8x
4 + -8x + 10x = 6 + 11

Combine like terms: -8x + 10x = 2x
4 + 2x = 6 + 11

Combine like terms: 6 + 11 = 17
4 + 2x = 17

Solving
4 + 2x = 17

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + 2x = 17 + -4

Combine like terms: 4 + -4 = 0
0 + 2x = 17 + -4
2x = 17 + -4

Combine like terms: 17 + -4 = 13
2x = 13

Divide each side by '2'.
x = 6.5

Simplifying
x = 6.5

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