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

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


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

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

Reorder the terms:
-4 + 2x = 21 + -3x

Solving
-4 + 2x = 21 + -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.
-4 + 2x + 3x = 21 + -3x + 3x

Combine like terms: 2x + 3x = 5x
-4 + 5x = 21 + -3x + 3x

Combine like terms: -3x + 3x = 0
-4 + 5x = 21 + 0
-4 + 5x = 21

Add '4' to each side of the equation.
-4 + 4 + 5x = 21 + 4

Combine like terms: -4 + 4 = 0
0 + 5x = 21 + 4
5x = 21 + 4

Combine like terms: 21 + 4 = 25
5x = 25

Divide each side by '5'.
x = 5

Simplifying
x = 5

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