2(x-6)+3=-(x+21)

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Solution for 2(x-6)+3=-(x+21) equation:


Simplifying
2(x + -6) + 3 = -1(x + 21)

Reorder the terms:
2(-6 + x) + 3 = -1(x + 21)
(-6 * 2 + x * 2) + 3 = -1(x + 21)
(-12 + 2x) + 3 = -1(x + 21)

Reorder the terms:
-12 + 3 + 2x = -1(x + 21)

Combine like terms: -12 + 3 = -9
-9 + 2x = -1(x + 21)

Reorder the terms:
-9 + 2x = -1(21 + x)
-9 + 2x = (21 * -1 + x * -1)
-9 + 2x = (-21 + -1x)

Solving
-9 + 2x = -21 + -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 = -21 + -1x + x

Combine like terms: 2x + x = 3x
-9 + 3x = -21 + -1x + x

Combine like terms: -1x + x = 0
-9 + 3x = -21 + 0
-9 + 3x = -21

Add '9' to each side of the equation.
-9 + 9 + 3x = -21 + 9

Combine like terms: -9 + 9 = 0
0 + 3x = -21 + 9
3x = -21 + 9

Combine like terms: -21 + 9 = -12
3x = -12

Divide each side by '3'.
x = -4

Simplifying
x = -4

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