6-2(5x-8)=3x-4

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Solution for 6-2(5x-8)=3x-4 equation: 


Simplifying
6 + -2(5x + -8) = 3x + -4

Reorder the terms:
6 + -2(-8 + 5x) = 3x + -4
6 + (-8 * -2 + 5x * -2) = 3x + -4
6 + (16 + -10x) = 3x + -4

Combine like terms: 6 + 16 = 22
22 + -10x = 3x + -4

Reorder the terms:
22 + -10x = -4 + 3x

Solving
22 + -10x = -4 + 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.
22 + -10x + -3x = -4 + 3x + -3x

Combine like terms: -10x + -3x = -13x
22 + -13x = -4 + 3x + -3x

Combine like terms: 3x + -3x = 0
22 + -13x = -4 + 0
22 + -13x = -4

Add '-22' to each side of the equation.
22 + -22 + -13x = -4 + -22

Combine like terms: 22 + -22 = 0
0 + -13x = -4 + -22
-13x = -4 + -22

Combine like terms: -4 + -22 = -26
-13x = -26

Divide each side by '-13'.
x = 2

Simplifying
x = 2

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