(4x+2)-(12x+8)+2(5x-3)=17

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Solution for (4x+2)-(12x+8)+2(5x-3)=17 equation:


Simplifying
(4x + 2) + -1(12x + 8) + 2(5x + -3) = 17

Reorder the terms:
(2 + 4x) + -1(12x + 8) + 2(5x + -3) = 17

Remove parenthesis around (2 + 4x)
2 + 4x + -1(12x + 8) + 2(5x + -3) = 17

Reorder the terms:
2 + 4x + -1(8 + 12x) + 2(5x + -3) = 17
2 + 4x + (8 * -1 + 12x * -1) + 2(5x + -3) = 17
2 + 4x + (-8 + -12x) + 2(5x + -3) = 17

Reorder the terms:
2 + 4x + -8 + -12x + 2(-3 + 5x) = 17
2 + 4x + -8 + -12x + (-3 * 2 + 5x * 2) = 17
2 + 4x + -8 + -12x + (-6 + 10x) = 17

Reorder the terms:
2 + -8 + -6 + 4x + -12x + 10x = 17

Combine like terms: 2 + -8 = -6
-6 + -6 + 4x + -12x + 10x = 17

Combine like terms: -6 + -6 = -12
-12 + 4x + -12x + 10x = 17

Combine like terms: 4x + -12x = -8x
-12 + -8x + 10x = 17

Combine like terms: -8x + 10x = 2x
-12 + 2x = 17

Solving
-12 + 2x = 17

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + 2x = 17 + 12

Combine like terms: -12 + 12 = 0
0 + 2x = 17 + 12
2x = 17 + 12

Combine like terms: 17 + 12 = 29
2x = 29

Divide each side by '2'.
x = 14.5

Simplifying
x = 14.5

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