(2x-15)=3(x-15)

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Solution for (2x-15)=3(x-15) equation:


Simplifying
(2x + -15) = 3(x + -15)

Reorder the terms:
(-15 + 2x) = 3(x + -15)

Remove parenthesis around (-15 + 2x)
-15 + 2x = 3(x + -15)

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

Solving
-15 + 2x = -45 + 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.
-15 + 2x + -3x = -45 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-15 + -1x = -45 + 3x + -3x

Combine like terms: 3x + -3x = 0
-15 + -1x = -45 + 0
-15 + -1x = -45

Add '15' to each side of the equation.
-15 + 15 + -1x = -45 + 15

Combine like terms: -15 + 15 = 0
0 + -1x = -45 + 15
-1x = -45 + 15

Combine like terms: -45 + 15 = -30
-1x = -30

Divide each side by '-1'.
x = 30

Simplifying
x = 30

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