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

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


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

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

Combine like terms: 5 + 2 = 7
7 + -3x = 14 + -1x

Solving
7 + -3x = 14 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
7 + -3x + x = 14 + -1x + x

Combine like terms: -3x + x = -2x
7 + -2x = 14 + -1x + x

Combine like terms: -1x + x = 0
7 + -2x = 14 + 0
7 + -2x = 14

Add '-7' to each side of the equation.
7 + -7 + -2x = 14 + -7

Combine like terms: 7 + -7 = 0
0 + -2x = 14 + -7
-2x = 14 + -7

Combine like terms: 14 + -7 = 7
-2x = 7

Divide each side by '-2'.
x = -3.5

Simplifying
x = -3.5

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