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

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


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

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

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

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-2 + -4x + 3x = 6 + -3x + 3x

Combine like terms: -4x + 3x = -1x
-2 + -1x = 6 + -3x + 3x

Combine like terms: -3x + 3x = 0
-2 + -1x = 6 + 0
-2 + -1x = 6

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

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

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

Divide each side by '-1'.
x = -8

Simplifying
x = -8

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