3(4x+5)-9=x-49

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Solution for 3(4x+5)-9=x-49 equation:


Simplifying
3(4x + 5) + -9 = x + -49

Reorder the terms:
3(5 + 4x) + -9 = x + -49
(5 * 3 + 4x * 3) + -9 = x + -49
(15 + 12x) + -9 = x + -49

Reorder the terms:
15 + -9 + 12x = x + -49

Combine like terms: 15 + -9 = 6
6 + 12x = x + -49

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

Solving
6 + 12x = -49 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
6 + 12x + -1x = -49 + x + -1x

Combine like terms: 12x + -1x = 11x
6 + 11x = -49 + x + -1x

Combine like terms: x + -1x = 0
6 + 11x = -49 + 0
6 + 11x = -49

Add '-6' to each side of the equation.
6 + -6 + 11x = -49 + -6

Combine like terms: 6 + -6 = 0
0 + 11x = -49 + -6
11x = -49 + -6

Combine like terms: -49 + -6 = -55
11x = -55

Divide each side by '11'.
x = -5

Simplifying
x = -5

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