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

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


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

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

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

Solving
2 + 4x = 3 + -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.
2 + 4x + 6x = 3 + -6x + 6x

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

Combine like terms: -6x + 6x = 0
2 + 10x = 3 + 0
2 + 10x = 3

Add '-2' to each side of the equation.
2 + -2 + 10x = 3 + -2

Combine like terms: 2 + -2 = 0
0 + 10x = 3 + -2
10x = 3 + -2

Combine like terms: 3 + -2 = 1
10x = 1

Divide each side by '10'.
x = 0.1

Simplifying
x = 0.1

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