4(3x-2)+2x=9-6(x+2)

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Solution for 4(3x-2)+2x=9-6(x+2) equation:


Simplifying
4(3x + -2) + 2x = 9 + -6(x + 2)

Reorder the terms:
4(-2 + 3x) + 2x = 9 + -6(x + 2)
(-2 * 4 + 3x * 4) + 2x = 9 + -6(x + 2)
(-8 + 12x) + 2x = 9 + -6(x + 2)

Combine like terms: 12x + 2x = 14x
-8 + 14x = 9 + -6(x + 2)

Reorder the terms:
-8 + 14x = 9 + -6(2 + x)
-8 + 14x = 9 + (2 * -6 + x * -6)
-8 + 14x = 9 + (-12 + -6x)

Combine like terms: 9 + -12 = -3
-8 + 14x = -3 + -6x

Solving
-8 + 14x = -3 + -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.
-8 + 14x + 6x = -3 + -6x + 6x

Combine like terms: 14x + 6x = 20x
-8 + 20x = -3 + -6x + 6x

Combine like terms: -6x + 6x = 0
-8 + 20x = -3 + 0
-8 + 20x = -3

Add '8' to each side of the equation.
-8 + 8 + 20x = -3 + 8

Combine like terms: -8 + 8 = 0
0 + 20x = -3 + 8
20x = -3 + 8

Combine like terms: -3 + 8 = 5
20x = 5

Divide each side by '20'.
x = 0.25

Simplifying
x = 0.25

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