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

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


Simplifying
2x + 4 = 2x + 3(-1x + 2)

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

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

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

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

Solving
4 + 2x = 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 + 2x + x = 6 + -1x + x

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

Combine like terms: -1x + x = 0
4 + 3x = 6 + 0
4 + 3x = 6

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

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

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

Divide each side by '3'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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