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

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


Simplifying
5x + -1(6x + -8) = 3x + 5

Reorder the terms:
5x + -1(-8 + 6x) = 3x + 5
5x + (-8 * -1 + 6x * -1) = 3x + 5
5x + (8 + -6x) = 3x + 5

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

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

Reorder the terms:
8 + -1x = 5 + 3x

Solving
8 + -1x = 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.
8 + -1x + -3x = 5 + 3x + -3x

Combine like terms: -1x + -3x = -4x
8 + -4x = 5 + 3x + -3x

Combine like terms: 3x + -3x = 0
8 + -4x = 5 + 0
8 + -4x = 5

Add '-8' to each side of the equation.
8 + -8 + -4x = 5 + -8

Combine like terms: 8 + -8 = 0
0 + -4x = 5 + -8
-4x = 5 + -8

Combine like terms: 5 + -8 = -3
-4x = -3

Divide each side by '-4'.
x = 0.75

Simplifying
x = 0.75

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