5(4x-2)=10(-2x+1)

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Solution for 5(4x-2)=10(-2x+1) equation: 


Simplifying
5(4x + -2) = 10(-2x + 1)

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

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

Solving
-10 + 20x = 10 + -20x

Solving for variable 'x'.

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

Add '20x' to each side of the equation.
-10 + 20x + 20x = 10 + -20x + 20x

Combine like terms: 20x + 20x = 40x
-10 + 40x = 10 + -20x + 20x

Combine like terms: -20x + 20x = 0
-10 + 40x = 10 + 0
-10 + 40x = 10

Add '10' to each side of the equation.
-10 + 10 + 40x = 10 + 10

Combine like terms: -10 + 10 = 0
0 + 40x = 10 + 10
40x = 10 + 10

Combine like terms: 10 + 10 = 20
40x = 20

Divide each side by '40'.
x = 0.5

Simplifying
x = 0.5

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