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

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


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

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

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

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

Combine like terms: 2x + 3x = 5x
4 + 5x = 6 + -3x + 3x

Combine like terms: -3x + 3x = 0
4 + 5x = 6 + 0
4 + 5x = 6

Add '-4' to each side of the equation.
4 + -4 + 5x = 6 + -4

Combine like terms: 4 + -4 = 0
0 + 5x = 6 + -4
5x = 6 + -4

Combine like terms: 6 + -4 = 2
5x = 2

Divide each side by '5'.
x = 0.4

Simplifying
x = 0.4

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