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

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


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

Reorder the terms:
-4(1 + 2x) = 2(1 + -3x)
(1 * -4 + 2x * -4) = 2(1 + -3x)
(-4 + -8x) = 2(1 + -3x)
-4 + -8x = (1 * 2 + -3x * 2)
-4 + -8x = (2 + -6x)

Solving
-4 + -8x = 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.
-4 + -8x + 6x = 2 + -6x + 6x

Combine like terms: -8x + 6x = -2x
-4 + -2x = 2 + -6x + 6x

Combine like terms: -6x + 6x = 0
-4 + -2x = 2 + 0
-4 + -2x = 2

Add '4' to each side of the equation.
-4 + 4 + -2x = 2 + 4

Combine like terms: -4 + 4 = 0
0 + -2x = 2 + 4
-2x = 2 + 4

Combine like terms: 2 + 4 = 6
-2x = 6

Divide each side by '-2'.
x = -3

Simplifying
x = -3

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