X-74=10(2X+3)-9

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Solution for X-74=10(2X+3)-9 equation:


Simplifying
X + -74 = 10(2X + 3) + -9

Reorder the terms:
-74 + X = 10(2X + 3) + -9

Reorder the terms:
-74 + X = 10(3 + 2X) + -9
-74 + X = (3 * 10 + 2X * 10) + -9
-74 + X = (30 + 20X) + -9

Reorder the terms:
-74 + X = 30 + -9 + 20X

Combine like terms: 30 + -9 = 21
-74 + X = 21 + 20X

Solving
-74 + X = 21 + 20X

Solving for variable 'X'.

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

Add '-20X' to each side of the equation.
-74 + X + -20X = 21 + 20X + -20X

Combine like terms: X + -20X = -19X
-74 + -19X = 21 + 20X + -20X

Combine like terms: 20X + -20X = 0
-74 + -19X = 21 + 0
-74 + -19X = 21

Add '74' to each side of the equation.
-74 + 74 + -19X = 21 + 74

Combine like terms: -74 + 74 = 0
0 + -19X = 21 + 74
-19X = 21 + 74

Combine like terms: 21 + 74 = 95
-19X = 95

Divide each side by '-19'.
X = -5

Simplifying
X = -5

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