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

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


Simplifying
2(x + -6) + 3 = 4 + -1(x + 2)

Reorder the terms:
2(-6 + x) + 3 = 4 + -1(x + 2)
(-6 * 2 + x * 2) + 3 = 4 + -1(x + 2)
(-12 + 2x) + 3 = 4 + -1(x + 2)

Reorder the terms:
-12 + 3 + 2x = 4 + -1(x + 2)

Combine like terms: -12 + 3 = -9
-9 + 2x = 4 + -1(x + 2)

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

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

Solving
-9 + 2x = 2 + -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.
-9 + 2x + x = 2 + -1x + x

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

Combine like terms: -1x + x = 0
-9 + 3x = 2 + 0
-9 + 3x = 2

Add '9' to each side of the equation.
-9 + 9 + 3x = 2 + 9

Combine like terms: -9 + 9 = 0
0 + 3x = 2 + 9
3x = 2 + 9

Combine like terms: 2 + 9 = 11
3x = 11

Divide each side by '3'.
x = 3.666666667

Simplifying
x = 3.666666667

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