3(2-x)-4=5x-14

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Solution for 3(2-x)-4=5x-14 equation:


Simplifying
3(2 + -1x) + -4 = 5x + -14
(2 * 3 + -1x * 3) + -4 = 5x + -14
(6 + -3x) + -4 = 5x + -14

Reorder the terms:
6 + -4 + -3x = 5x + -14

Combine like terms: 6 + -4 = 2
2 + -3x = 5x + -14

Reorder the terms:
2 + -3x = -14 + 5x

Solving
2 + -3x = -14 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
2 + -3x + -5x = -14 + 5x + -5x

Combine like terms: -3x + -5x = -8x
2 + -8x = -14 + 5x + -5x

Combine like terms: 5x + -5x = 0
2 + -8x = -14 + 0
2 + -8x = -14

Add '-2' to each side of the equation.
2 + -2 + -8x = -14 + -2

Combine like terms: 2 + -2 = 0
0 + -8x = -14 + -2
-8x = -14 + -2

Combine like terms: -14 + -2 = -16
-8x = -16

Divide each side by '-8'.
x = 2

Simplifying
x = 2

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