-2(3x-2)=3x-2(5x+1)

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Solution for -2(3x-2)=3x-2(5x+1) equation:


Simplifying
-2(3x + -2) = 3x + -2(5x + 1)

Reorder the terms:
-2(-2 + 3x) = 3x + -2(5x + 1)
(-2 * -2 + 3x * -2) = 3x + -2(5x + 1)
(4 + -6x) = 3x + -2(5x + 1)

Reorder the terms:
4 + -6x = 3x + -2(1 + 5x)
4 + -6x = 3x + (1 * -2 + 5x * -2)
4 + -6x = 3x + (-2 + -10x)

Reorder the terms:
4 + -6x = -2 + 3x + -10x

Combine like terms: 3x + -10x = -7x
4 + -6x = -2 + -7x

Solving
4 + -6x = -2 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
4 + -6x + 7x = -2 + -7x + 7x

Combine like terms: -6x + 7x = 1x
4 + 1x = -2 + -7x + 7x

Combine like terms: -7x + 7x = 0
4 + 1x = -2 + 0
4 + 1x = -2

Add '-4' to each side of the equation.
4 + -4 + 1x = -2 + -4

Combine like terms: 4 + -4 = 0
0 + 1x = -2 + -4
1x = -2 + -4

Combine like terms: -2 + -4 = -6
1x = -6

Divide each side by '1'.
x = -6

Simplifying
x = -6

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