x-49=3(-4x-1)-x-4

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Solution for x-49=3(-4x-1)-x-4 equation:


Simplifying
x + -49 = 3(-4x + -1) + -1x + -4

Reorder the terms:
-49 + x = 3(-4x + -1) + -1x + -4

Reorder the terms:
-49 + x = 3(-1 + -4x) + -1x + -4
-49 + x = (-1 * 3 + -4x * 3) + -1x + -4
-49 + x = (-3 + -12x) + -1x + -4

Reorder the terms:
-49 + x = -3 + -4 + -12x + -1x

Combine like terms: -3 + -4 = -7
-49 + x = -7 + -12x + -1x

Combine like terms: -12x + -1x = -13x
-49 + x = -7 + -13x

Solving
-49 + x = -7 + -13x

Solving for variable 'x'.

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

Add '13x' to each side of the equation.
-49 + x + 13x = -7 + -13x + 13x

Combine like terms: x + 13x = 14x
-49 + 14x = -7 + -13x + 13x

Combine like terms: -13x + 13x = 0
-49 + 14x = -7 + 0
-49 + 14x = -7

Add '49' to each side of the equation.
-49 + 49 + 14x = -7 + 49

Combine like terms: -49 + 49 = 0
0 + 14x = -7 + 49
14x = -7 + 49

Combine like terms: -7 + 49 = 42
14x = 42

Divide each side by '14'.
x = 3

Simplifying
x = 3

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