5-3(x-4)=6

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


Simplifying
5 + -3(x + -4) = 6

Reorder the terms:
5 + -3(-4 + x) = 6
5 + (-4 * -3 + x * -3) = 6
5 + (12 + -3x) = 6

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

Solving
17 + -3x = 6

Solving for variable 'x'.

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

Add '-17' to each side of the equation.
17 + -17 + -3x = 6 + -17

Combine like terms: 17 + -17 = 0
0 + -3x = 6 + -17
-3x = 6 + -17

Combine like terms: 6 + -17 = -11
-3x = -11

Divide each side by '-3'.
x = 3.666666667

Simplifying
x = 3.666666667

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