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

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Solution for 2(x+1)=-3(x+6)+21 equation: 


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

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

Reorder the terms:
2 + 2x = -3(6 + x) + 21
2 + 2x = (6 * -3 + x * -3) + 21
2 + 2x = (-18 + -3x) + 21

Reorder the terms:
2 + 2x = -18 + 21 + -3x

Combine like terms: -18 + 21 = 3
2 + 2x = 3 + -3x

Solving
2 + 2x = 3 + -3x

Solving for variable 'x'.

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

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

Combine like terms: 2x + 3x = 5x
2 + 5x = 3 + -3x + 3x

Combine like terms: -3x + 3x = 0
2 + 5x = 3 + 0
2 + 5x = 3

Add '-2' to each side of the equation.
2 + -2 + 5x = 3 + -2

Combine like terms: 2 + -2 = 0
0 + 5x = 3 + -2
5x = 3 + -2

Combine like terms: 3 + -2 = 1
5x = 1

Divide each side by '5'.
x = 0.2

Simplifying
x = 0.2

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