3x+2+2(-1x+2)=4x-9

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Solution for 3x+2+2(-1x+2)=4x-9 equation: 


Simplifying
3x + 2 + 2(-1x + 2) = 4x + -9

Reorder the terms:
3x + 2 + 2(2 + -1x) = 4x + -9
3x + 2 + (2 * 2 + -1x * 2) = 4x + -9
3x + 2 + (4 + -2x) = 4x + -9

Reorder the terms:
2 + 4 + 3x + -2x = 4x + -9

Combine like terms: 2 + 4 = 6
6 + 3x + -2x = 4x + -9

Combine like terms: 3x + -2x = 1x
6 + 1x = 4x + -9

Reorder the terms:
6 + 1x = -9 + 4x

Solving
6 + 1x = -9 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
6 + 1x + -4x = -9 + 4x + -4x

Combine like terms: 1x + -4x = -3x
6 + -3x = -9 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 + -3x = -9 + 0
6 + -3x = -9

Add '-6' to each side of the equation.
6 + -6 + -3x = -9 + -6

Combine like terms: 6 + -6 = 0
0 + -3x = -9 + -6
-3x = -9 + -6

Combine like terms: -9 + -6 = -15
-3x = -15

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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