3(x-4)+61=-4x

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Solution for 3(x-4)+61=-4x equation:


Simplifying
3(x + -4) + 61 = -4x

Reorder the terms:
3(-4 + x) + 61 = -4x
(-4 * 3 + x * 3) + 61 = -4x
(-12 + 3x) + 61 = -4x

Reorder the terms:
-12 + 61 + 3x = -4x

Combine like terms: -12 + 61 = 49
49 + 3x = -4x

Solving
49 + 3x = -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
49 + 3x + 4x = -4x + 4x

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

Combine like terms: -4x + 4x = 0
49 + 7x = 0

Add '-49' to each side of the equation.
49 + -49 + 7x = 0 + -49

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

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

Divide each side by '7'.
x = -7

Simplifying
x = -7

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