2(x-3)-8=21-3x

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Solution for 2(x-3)-8=21-3x equation:


Simplifying
2(x + -3) + -8 = 21 + -3x

Reorder the terms:
2(-3 + x) + -8 = 21 + -3x
(-3 * 2 + x * 2) + -8 = 21 + -3x
(-6 + 2x) + -8 = 21 + -3x

Reorder the terms:
-6 + -8 + 2x = 21 + -3x

Combine like terms: -6 + -8 = -14
-14 + 2x = 21 + -3x

Solving
-14 + 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.
-14 + 2x + 3x = 21 + -3x + 3x

Combine like terms: 2x + 3x = 5x
-14 + 5x = 21 + -3x + 3x

Combine like terms: -3x + 3x = 0
-14 + 5x = 21 + 0
-14 + 5x = 21

Add '14' to each side of the equation.
-14 + 14 + 5x = 21 + 14

Combine like terms: -14 + 14 = 0
0 + 5x = 21 + 14
5x = 21 + 14

Combine like terms: 21 + 14 = 35
5x = 35

Divide each side by '5'.
x = 7

Simplifying
x = 7

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