3(x+1)-5x=14-(3-2x)

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Solution for 3(x+1)-5x=14-(3-2x) equation: 


Simplifying
3(x + 1) + -5x = 14 + -1(3 + -2x)

Reorder the terms:
3(1 + x) + -5x = 14 + -1(3 + -2x)
(1 * 3 + x * 3) + -5x = 14 + -1(3 + -2x)
(3 + 3x) + -5x = 14 + -1(3 + -2x)

Combine like terms: 3x + -5x = -2x
3 + -2x = 14 + -1(3 + -2x)
3 + -2x = 14 + (3 * -1 + -2x * -1)
3 + -2x = 14 + (-3 + 2x)

Combine like terms: 14 + -3 = 11
3 + -2x = 11 + 2x

Solving
3 + -2x = 11 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
3 + -2x + -2x = 11 + 2x + -2x

Combine like terms: -2x + -2x = -4x
3 + -4x = 11 + 2x + -2x

Combine like terms: 2x + -2x = 0
3 + -4x = 11 + 0
3 + -4x = 11

Add '-3' to each side of the equation.
3 + -3 + -4x = 11 + -3

Combine like terms: 3 + -3 = 0
0 + -4x = 11 + -3
-4x = 11 + -3

Combine like terms: 11 + -3 = 8
-4x = 8

Divide each side by '-4'.
x = -2

Simplifying
x = -2

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