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

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


Simplifying
8 + -1(5x + 2) = 3x + -5

Reorder the terms:
8 + -1(2 + 5x) = 3x + -5
8 + (2 * -1 + 5x * -1) = 3x + -5
8 + (-2 + -5x) = 3x + -5

Combine like terms: 8 + -2 = 6
6 + -5x = 3x + -5

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

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

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

Combine like terms: 3x + -3x = 0
6 + -8x = -5 + 0
6 + -8x = -5

Add '-6' to each side of the equation.
6 + -6 + -8x = -5 + -6

Combine like terms: 6 + -6 = 0
0 + -8x = -5 + -6
-8x = -5 + -6

Combine like terms: -5 + -6 = -11
-8x = -11

Divide each side by '-8'.
x = 1.375

Simplifying
x = 1.375

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