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

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


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

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

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

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

Reorder the terms:
-9 + -1x = -4 + 4x + 2x

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

Solving
-9 + -1x = -4 + 6x

Solving for variable 'x'.

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

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

Combine like terms: -1x + -6x = -7x
-9 + -7x = -4 + 6x + -6x

Combine like terms: 6x + -6x = 0
-9 + -7x = -4 + 0
-9 + -7x = -4

Add '9' to each side of the equation.
-9 + 9 + -7x = -4 + 9

Combine like terms: -9 + 9 = 0
0 + -7x = -4 + 9
-7x = -4 + 9

Combine like terms: -4 + 9 = 5
-7x = 5

Divide each side by '-7'.
x = -0.7142857143

Simplifying
x = -0.7142857143

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