6-5x=3(x+8)-10

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Solution for 6-5x=3(x+8)-10 equation: 


Simplifying
6 + -5x = 3(x + 8) + -10

Reorder the terms:
6 + -5x = 3(8 + x) + -10
6 + -5x = (8 * 3 + x * 3) + -10
6 + -5x = (24 + 3x) + -10

Reorder the terms:
6 + -5x = 24 + -10 + 3x

Combine like terms: 24 + -10 = 14
6 + -5x = 14 + 3x

Solving
6 + -5x = 14 + 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.
6 + -5x + -3x = 14 + 3x + -3x

Combine like terms: -5x + -3x = -8x
6 + -8x = 14 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 + -8x = 14 + 0
6 + -8x = 14

Add '-6' to each side of the equation.
6 + -6 + -8x = 14 + -6

Combine like terms: 6 + -6 = 0
0 + -8x = 14 + -6
-8x = 14 + -6

Combine like terms: 14 + -6 = 8
-8x = 8

Divide each side by '-8'.
x = -1

Simplifying
x = -1

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