3(6-x)-4=5(x-2)-6

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Solution for 3(6-x)-4=5(x-2)-6 equation:


Simplifying
3(6 + -1x) + -4 = 5(x + -2) + -6
(6 * 3 + -1x * 3) + -4 = 5(x + -2) + -6
(18 + -3x) + -4 = 5(x + -2) + -6

Reorder the terms:
18 + -4 + -3x = 5(x + -2) + -6

Combine like terms: 18 + -4 = 14
14 + -3x = 5(x + -2) + -6

Reorder the terms:
14 + -3x = 5(-2 + x) + -6
14 + -3x = (-2 * 5 + x * 5) + -6
14 + -3x = (-10 + 5x) + -6

Reorder the terms:
14 + -3x = -10 + -6 + 5x

Combine like terms: -10 + -6 = -16
14 + -3x = -16 + 5x

Solving
14 + -3x = -16 + 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.
14 + -3x + -5x = -16 + 5x + -5x

Combine like terms: -3x + -5x = -8x
14 + -8x = -16 + 5x + -5x

Combine like terms: 5x + -5x = 0
14 + -8x = -16 + 0
14 + -8x = -16

Add '-14' to each side of the equation.
14 + -14 + -8x = -16 + -14

Combine like terms: 14 + -14 = 0
0 + -8x = -16 + -14
-8x = -16 + -14

Combine like terms: -16 + -14 = -30
-8x = -30

Divide each side by '-8'.
x = 3.75

Simplifying
x = 3.75

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