3+2x=6(x+2)-5(x-1)

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Solution for 3+2x=6(x+2)-5(x-1) equation:


Simplifying
3 + 2x = 6(x + 2) + -5(x + -1)

Reorder the terms:
3 + 2x = 6(2 + x) + -5(x + -1)
3 + 2x = (2 * 6 + x * 6) + -5(x + -1)
3 + 2x = (12 + 6x) + -5(x + -1)

Reorder the terms:
3 + 2x = 12 + 6x + -5(-1 + x)
3 + 2x = 12 + 6x + (-1 * -5 + x * -5)
3 + 2x = 12 + 6x + (5 + -5x)

Reorder the terms:
3 + 2x = 12 + 5 + 6x + -5x

Combine like terms: 12 + 5 = 17
3 + 2x = 17 + 6x + -5x

Combine like terms: 6x + -5x = 1x
3 + 2x = 17 + 1x

Solving
3 + 2x = 17 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
3 + 2x + -1x = 17 + 1x + -1x

Combine like terms: 2x + -1x = 1x
3 + 1x = 17 + 1x + -1x

Combine like terms: 1x + -1x = 0
3 + 1x = 17 + 0
3 + 1x = 17

Add '-3' to each side of the equation.
3 + -3 + 1x = 17 + -3

Combine like terms: 3 + -3 = 0
0 + 1x = 17 + -3
1x = 17 + -3

Combine like terms: 17 + -3 = 14
1x = 14

Divide each side by '1'.
x = 14

Simplifying
x = 14

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