49=3(4x-2)-5

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Solution for 49=3(4x-2)-5 equation: 


Simplifying
49 = 3(4x + -2) + -5

Reorder the terms:
49 = 3(-2 + 4x) + -5
49 = (-2 * 3 + 4x * 3) + -5
49 = (-6 + 12x) + -5

Reorder the terms:
49 = -6 + -5 + 12x

Combine like terms: -6 + -5 = -11
49 = -11 + 12x

Solving
49 = -11 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
49 + -12x = -11 + 12x + -12x

Combine like terms: 12x + -12x = 0
49 + -12x = -11 + 0
49 + -12x = -11

Add '-49' to each side of the equation.
49 + -49 + -12x = -11 + -49

Combine like terms: 49 + -49 = 0
0 + -12x = -11 + -49
-12x = -11 + -49

Combine like terms: -11 + -49 = -60
-12x = -60

Divide each side by '-12'.
x = 5

Simplifying
x = 5

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