2(x-22)+3(x-3)=37

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Solution for 2(x-22)+3(x-3)=37 equation: 


Simplifying
2(x + -22) + 3(x + -3) = 37

Reorder the terms:
2(-22 + x) + 3(x + -3) = 37
(-22 * 2 + x * 2) + 3(x + -3) = 37
(-44 + 2x) + 3(x + -3) = 37

Reorder the terms:
-44 + 2x + 3(-3 + x) = 37
-44 + 2x + (-3 * 3 + x * 3) = 37
-44 + 2x + (-9 + 3x) = 37

Reorder the terms:
-44 + -9 + 2x + 3x = 37

Combine like terms: -44 + -9 = -53
-53 + 2x + 3x = 37

Combine like terms: 2x + 3x = 5x
-53 + 5x = 37

Solving
-53 + 5x = 37

Solving for variable 'x'.

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

Add '53' to each side of the equation.
-53 + 53 + 5x = 37 + 53

Combine like terms: -53 + 53 = 0
0 + 5x = 37 + 53
5x = 37 + 53

Combine like terms: 37 + 53 = 90
5x = 90

Divide each side by '5'.
x = 18

Simplifying
x = 18

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