5(4x-2)-2(2x-1)=0

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Solution for 5(4x-2)-2(2x-1)=0 equation: 


Simplifying
5(4x + -2) + -2(2x + -1) = 0

Reorder the terms:
5(-2 + 4x) + -2(2x + -1) = 0
(-2 * 5 + 4x * 5) + -2(2x + -1) = 0
(-10 + 20x) + -2(2x + -1) = 0

Reorder the terms:
-10 + 20x + -2(-1 + 2x) = 0
-10 + 20x + (-1 * -2 + 2x * -2) = 0
-10 + 20x + (2 + -4x) = 0

Reorder the terms:
-10 + 2 + 20x + -4x = 0

Combine like terms: -10 + 2 = -8
-8 + 20x + -4x = 0

Combine like terms: 20x + -4x = 16x
-8 + 16x = 0

Solving
-8 + 16x = 0

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + 16x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 16x = 0 + 8
16x = 0 + 8

Combine like terms: 0 + 8 = 8
16x = 8

Divide each side by '16'.
x = 0.5

Simplifying
x = 0.5

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