3(x-2)=5(x-3)

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Solution for 3(x-2)=5(x-3) equation:


Simplifying
3(x + -2) = 5(x + -3)

Reorder the terms:
3(-2 + x) = 5(x + -3)
(-2 * 3 + x * 3) = 5(x + -3)
(-6 + 3x) = 5(x + -3)

Reorder the terms:
-6 + 3x = 5(-3 + x)
-6 + 3x = (-3 * 5 + x * 5)
-6 + 3x = (-15 + 5x)

Solving
-6 + 3x = -15 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-6 + 3x + -5x = -15 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-6 + -2x = -15 + 5x + -5x

Combine like terms: 5x + -5x = 0
-6 + -2x = -15 + 0
-6 + -2x = -15

Add '6' to each side of the equation.
-6 + 6 + -2x = -15 + 6

Combine like terms: -6 + 6 = 0
0 + -2x = -15 + 6
-2x = -15 + 6

Combine like terms: -15 + 6 = -9
-2x = -9

Divide each side by '-2'.
x = 4.5

Simplifying
x = 4.5

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