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

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Solution for 2(4x+2)-5x=3(4x+1)-17 equation:


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

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

Combine like terms: 8x + -5x = 3x
4 + 3x = 3(4x + 1) + -17

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

Reorder the terms:
4 + 3x = 3 + -17 + 12x

Combine like terms: 3 + -17 = -14
4 + 3x = -14 + 12x

Solving
4 + 3x = -14 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
4 + 3x + -12x = -14 + 12x + -12x

Combine like terms: 3x + -12x = -9x
4 + -9x = -14 + 12x + -12x

Combine like terms: 12x + -12x = 0
4 + -9x = -14 + 0
4 + -9x = -14

Add '-4' to each side of the equation.
4 + -4 + -9x = -14 + -4

Combine like terms: 4 + -4 = 0
0 + -9x = -14 + -4
-9x = -14 + -4

Combine like terms: -14 + -4 = -18
-9x = -18

Divide each side by '-9'.
x = 2

Simplifying
x = 2

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