6x-2(4x-5)=4x-8

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Solution for 6x-2(4x-5)=4x-8 equation:


Simplifying
6x + -2(4x + -5) = 4x + -8

Reorder the terms:
6x + -2(-5 + 4x) = 4x + -8
6x + (-5 * -2 + 4x * -2) = 4x + -8
6x + (10 + -8x) = 4x + -8

Reorder the terms:
10 + 6x + -8x = 4x + -8

Combine like terms: 6x + -8x = -2x
10 + -2x = 4x + -8

Reorder the terms:
10 + -2x = -8 + 4x

Solving
10 + -2x = -8 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
10 + -2x + -4x = -8 + 4x + -4x

Combine like terms: -2x + -4x = -6x
10 + -6x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
10 + -6x = -8 + 0
10 + -6x = -8

Add '-10' to each side of the equation.
10 + -10 + -6x = -8 + -10

Combine like terms: 10 + -10 = 0
0 + -6x = -8 + -10
-6x = -8 + -10

Combine like terms: -8 + -10 = -18
-6x = -18

Divide each side by '-6'.
x = 3

Simplifying
x = 3

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