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

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


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

Reorder the terms:
2(-2 + x) = 4(3x + 1)
(-2 * 2 + x * 2) = 4(3x + 1)
(-4 + 2x) = 4(3x + 1)

Reorder the terms:
-4 + 2x = 4(1 + 3x)
-4 + 2x = (1 * 4 + 3x * 4)
-4 + 2x = (4 + 12x)

Solving
-4 + 2x = 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.
-4 + 2x + -12x = 4 + 12x + -12x

Combine like terms: 2x + -12x = -10x
-4 + -10x = 4 + 12x + -12x

Combine like terms: 12x + -12x = 0
-4 + -10x = 4 + 0
-4 + -10x = 4

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

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

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

Divide each side by '-10'.
x = -0.8

Simplifying
x = -0.8

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