3x+8=5x-6(x-4)

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Solution for 3x+8=5x-6(x-4) equation:


Simplifying
3x + 8 = 5x + -6(x + -4)

Reorder the terms:
8 + 3x = 5x + -6(x + -4)

Reorder the terms:
8 + 3x = 5x + -6(-4 + x)
8 + 3x = 5x + (-4 * -6 + x * -6)
8 + 3x = 5x + (24 + -6x)

Reorder the terms:
8 + 3x = 24 + 5x + -6x

Combine like terms: 5x + -6x = -1x
8 + 3x = 24 + -1x

Solving
8 + 3x = 24 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
8 + 3x + x = 24 + -1x + x

Combine like terms: 3x + x = 4x
8 + 4x = 24 + -1x + x

Combine like terms: -1x + x = 0
8 + 4x = 24 + 0
8 + 4x = 24

Add '-8' to each side of the equation.
8 + -8 + 4x = 24 + -8

Combine like terms: 8 + -8 = 0
0 + 4x = 24 + -8
4x = 24 + -8

Combine like terms: 24 + -8 = 16
4x = 16

Divide each side by '4'.
x = 4

Simplifying
x = 4

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