2(x-21)+3(x-3)=44

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Solution for 2(x-21)+3(x-3)=44 equation: 


Simplifying
2(x + -21) + 3(x + -3) = 44

Reorder the terms:
2(-21 + x) + 3(x + -3) = 44
(-21 * 2 + x * 2) + 3(x + -3) = 44
(-42 + 2x) + 3(x + -3) = 44

Reorder the terms:
-42 + 2x + 3(-3 + x) = 44
-42 + 2x + (-3 * 3 + x * 3) = 44
-42 + 2x + (-9 + 3x) = 44

Reorder the terms:
-42 + -9 + 2x + 3x = 44

Combine like terms: -42 + -9 = -51
-51 + 2x + 3x = 44

Combine like terms: 2x + 3x = 5x
-51 + 5x = 44

Solving
-51 + 5x = 44

Solving for variable 'x'.

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

Add '51' to each side of the equation.
-51 + 51 + 5x = 44 + 51

Combine like terms: -51 + 51 = 0
0 + 5x = 44 + 51
5x = 44 + 51

Combine like terms: 44 + 51 = 95
5x = 95

Divide each side by '5'.
x = 19

Simplifying
x = 19

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