2(10-2x)=4(3x+1)

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Solution for 2(10-2x)=4(3x+1) equation: 


Simplifying
2(10 + -2x) = 4(3x + 1)
(10 * 2 + -2x * 2) = 4(3x + 1)
(20 + -4x) = 4(3x + 1)

Reorder the terms:
20 + -4x = 4(1 + 3x)
20 + -4x = (1 * 4 + 3x * 4)
20 + -4x = (4 + 12x)

Solving
20 + -4x = 4 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
20 + -4x + -12x = 4 + 12x + -12x

Combine like terms: -4x + -12x = -16x
20 + -16x = 4 + 12x + -12x

Combine like terms: 12x + -12x = 0
20 + -16x = 4 + 0
20 + -16x = 4

Add '-20' to each side of the equation.
20 + -20 + -16x = 4 + -20

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

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

Divide each side by '-16'.
x = 1

Simplifying
x = 1

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