2(x-21)=29-3(x-3)

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Solution for 2(x-21)=29-3(x-3) equation: 


Simplifying
2(x + -21) = 29 + -3(x + -3)

Reorder the terms:
2(-21 + x) = 29 + -3(x + -3)
(-21 * 2 + x * 2) = 29 + -3(x + -3)
(-42 + 2x) = 29 + -3(x + -3)

Reorder the terms:
-42 + 2x = 29 + -3(-3 + x)
-42 + 2x = 29 + (-3 * -3 + x * -3)
-42 + 2x = 29 + (9 + -3x)

Combine like terms: 29 + 9 = 38
-42 + 2x = 38 + -3x

Solving
-42 + 2x = 38 + -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.
-42 + 2x + 3x = 38 + -3x + 3x

Combine like terms: 2x + 3x = 5x
-42 + 5x = 38 + -3x + 3x

Combine like terms: -3x + 3x = 0
-42 + 5x = 38 + 0
-42 + 5x = 38

Add '42' to each side of the equation.
-42 + 42 + 5x = 38 + 42

Combine like terms: -42 + 42 = 0
0 + 5x = 38 + 42
5x = 38 + 42

Combine like terms: 38 + 42 = 80
5x = 80

Divide each side by '5'.
x = 16

Simplifying
x = 16

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