3(X-15)=2X-7

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Solution for 3(X-15)=2X-7 equation: 


Simplifying
3(X + -15) = 2X + -7

Reorder the terms:
3(-15 + X) = 2X + -7
(-15 * 3 + X * 3) = 2X + -7
(-45 + 3X) = 2X + -7

Reorder the terms:
-45 + 3X = -7 + 2X

Solving
-45 + 3X = -7 + 2X

Solving for variable 'X'.

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

Add '-2X' to each side of the equation.
-45 + 3X + -2X = -7 + 2X + -2X

Combine like terms: 3X + -2X = 1X
-45 + 1X = -7 + 2X + -2X

Combine like terms: 2X + -2X = 0
-45 + 1X = -7 + 0
-45 + 1X = -7

Add '45' to each side of the equation.
-45 + 45 + 1X = -7 + 45

Combine like terms: -45 + 45 = 0
0 + 1X = -7 + 45
1X = -7 + 45

Combine like terms: -7 + 45 = 38
1X = 38

Divide each side by '1'.
X = 38

Simplifying
X = 38

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