2x+8=3x-5(x+4)

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Solution for 2x+8=3x-5(x+4) equation:


Simplifying
2x + 8 = 3x + -5(x + 4)

Reorder the terms:
8 + 2x = 3x + -5(x + 4)

Reorder the terms:
8 + 2x = 3x + -5(4 + x)
8 + 2x = 3x + (4 * -5 + x * -5)
8 + 2x = 3x + (-20 + -5x)

Reorder the terms:
8 + 2x = -20 + 3x + -5x

Combine like terms: 3x + -5x = -2x
8 + 2x = -20 + -2x

Solving
8 + 2x = -20 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
8 + 2x + 2x = -20 + -2x + 2x

Combine like terms: 2x + 2x = 4x
8 + 4x = -20 + -2x + 2x

Combine like terms: -2x + 2x = 0
8 + 4x = -20 + 0
8 + 4x = -20

Add '-8' to each side of the equation.
8 + -8 + 4x = -20 + -8

Combine like terms: 8 + -8 = 0
0 + 4x = -20 + -8
4x = -20 + -8

Combine like terms: -20 + -8 = -28
4x = -28

Divide each side by '4'.
x = -7

Simplifying
x = -7

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