2(x+1)-3(x+2)+16=21-4(x+3)

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Solution for 2(x+1)-3(x+2)+16=21-4(x+3) equation:


Simplifying
2(x + 1) + -3(x + 2) + 16 = 21 + -4(x + 3)

Reorder the terms:
2(1 + x) + -3(x + 2) + 16 = 21 + -4(x + 3)
(1 * 2 + x * 2) + -3(x + 2) + 16 = 21 + -4(x + 3)
(2 + 2x) + -3(x + 2) + 16 = 21 + -4(x + 3)

Reorder the terms:
2 + 2x + -3(2 + x) + 16 = 21 + -4(x + 3)
2 + 2x + (2 * -3 + x * -3) + 16 = 21 + -4(x + 3)
2 + 2x + (-6 + -3x) + 16 = 21 + -4(x + 3)

Reorder the terms:
2 + -6 + 16 + 2x + -3x = 21 + -4(x + 3)

Combine like terms: 2 + -6 = -4
-4 + 16 + 2x + -3x = 21 + -4(x + 3)

Combine like terms: -4 + 16 = 12
12 + 2x + -3x = 21 + -4(x + 3)

Combine like terms: 2x + -3x = -1x
12 + -1x = 21 + -4(x + 3)

Reorder the terms:
12 + -1x = 21 + -4(3 + x)
12 + -1x = 21 + (3 * -4 + x * -4)
12 + -1x = 21 + (-12 + -4x)

Combine like terms: 21 + -12 = 9
12 + -1x = 9 + -4x

Solving
12 + -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.
12 + -1x + 4x = 9 + -4x + 4x

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

Combine like terms: -4x + 4x = 0
12 + 3x = 9 + 0
12 + 3x = 9

Add '-12' to each side of the equation.
12 + -12 + 3x = 9 + -12

Combine like terms: 12 + -12 = 0
0 + 3x = 9 + -12
3x = 9 + -12

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

Divide each side by '3'.
x = -1

Simplifying
x = -1

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