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

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


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

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

Combine like terms: 3 + -4 = -1
-1 + -2x = 2(3x + 1)

Reorder the terms:
-1 + -2x = 2(1 + 3x)
-1 + -2x = (1 * 2 + 3x * 2)
-1 + -2x = (2 + 6x)

Solving
-1 + -2x = 2 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-1 + -2x + -6x = 2 + 6x + -6x

Combine like terms: -2x + -6x = -8x
-1 + -8x = 2 + 6x + -6x

Combine like terms: 6x + -6x = 0
-1 + -8x = 2 + 0
-1 + -8x = 2

Add '1' to each side of the equation.
-1 + 1 + -8x = 2 + 1

Combine like terms: -1 + 1 = 0
0 + -8x = 2 + 1
-8x = 2 + 1

Combine like terms: 2 + 1 = 3
-8x = 3

Divide each side by '-8'.
x = -0.375

Simplifying
x = -0.375

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