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

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


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

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

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

Combine like terms: 21 + 6 = 27
6 + 4x = 27 + -3x

Solving
6 + 4x = 27 + -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.
6 + 4x + 3x = 27 + -3x + 3x

Combine like terms: 4x + 3x = 7x
6 + 7x = 27 + -3x + 3x

Combine like terms: -3x + 3x = 0
6 + 7x = 27 + 0
6 + 7x = 27

Add '-6' to each side of the equation.
6 + -6 + 7x = 27 + -6

Combine like terms: 6 + -6 = 0
0 + 7x = 27 + -6
7x = 27 + -6

Combine like terms: 27 + -6 = 21
7x = 21

Divide each side by '7'.
x = 3

Simplifying
x = 3

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