(4x+2)-(12x+8)+10x-3=6+11

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Solution for (4x+2)-(12x+8)+10x-3=6+11 equation:


Simplifying
(4x + 2) + -1(12x + 8) + 10x + -3 = 6 + 11

Reorder the terms:
(2 + 4x) + -1(12x + 8) + 10x + -3 = 6 + 11

Remove parenthesis around (2 + 4x)
2 + 4x + -1(12x + 8) + 10x + -3 = 6 + 11

Reorder the terms:
2 + 4x + -1(8 + 12x) + 10x + -3 = 6 + 11
2 + 4x + (8 * -1 + 12x * -1) + 10x + -3 = 6 + 11
2 + 4x + (-8 + -12x) + 10x + -3 = 6 + 11

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

Combine like terms: 2 + -8 = -6
-6 + -3 + 4x + -12x + 10x = 6 + 11

Combine like terms: -6 + -3 = -9
-9 + 4x + -12x + 10x = 6 + 11

Combine like terms: 4x + -12x = -8x
-9 + -8x + 10x = 6 + 11

Combine like terms: -8x + 10x = 2x
-9 + 2x = 6 + 11

Combine like terms: 6 + 11 = 17
-9 + 2x = 17

Solving
-9 + 2x = 17

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + 2x = 17 + 9

Combine like terms: -9 + 9 = 0
0 + 2x = 17 + 9
2x = 17 + 9

Combine like terms: 17 + 9 = 26
2x = 26

Divide each side by '2'.
x = 13

Simplifying
x = 13

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