5x+6=10(x-8)

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Solution for 5x+6=10(x-8) equation:


Simplifying
5x + 6 = 10(x + -8)

Reorder the terms:
6 + 5x = 10(x + -8)

Reorder the terms:
6 + 5x = 10(-8 + x)
6 + 5x = (-8 * 10 + x * 10)
6 + 5x = (-80 + 10x)

Solving
6 + 5x = -80 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
6 + 5x + -10x = -80 + 10x + -10x

Combine like terms: 5x + -10x = -5x
6 + -5x = -80 + 10x + -10x

Combine like terms: 10x + -10x = 0
6 + -5x = -80 + 0
6 + -5x = -80

Add '-6' to each side of the equation.
6 + -6 + -5x = -80 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = -80 + -6
-5x = -80 + -6

Combine like terms: -80 + -6 = -86
-5x = -86

Divide each side by '-5'.
x = 17.2

Simplifying
x = 17.2

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