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

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


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

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

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

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

Solving
4 = -6 + -1x

Solving for variable 'x'.

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

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

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

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

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

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

Simplifying
x = -10

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