2x+49=-3(x-8)

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Solution for 2x+49=-3(x-8) equation: 


Simplifying
2x + 49 = -3(x + -8)

Reorder the terms:
49 + 2x = -3(x + -8)

Reorder the terms:
49 + 2x = -3(-8 + x)
49 + 2x = (-8 * -3 + x * -3)
49 + 2x = (24 + -3x)

Solving
49 + 2x = 24 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
49 + 2x + 3x = 24 + -3x + 3x

Combine like terms: 2x + 3x = 5x
49 + 5x = 24 + -3x + 3x

Combine like terms: -3x + 3x = 0
49 + 5x = 24 + 0
49 + 5x = 24

Add '-49' to each side of the equation.
49 + -49 + 5x = 24 + -49

Combine like terms: 49 + -49 = 0
0 + 5x = 24 + -49
5x = 24 + -49

Combine like terms: 24 + -49 = -25
5x = -25

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

Simplifying
x = -5

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