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

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


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

Reorder the terms:
3(-3 + x) = 15(x + -2)
(-3 * 3 + x * 3) = 15(x + -2)
(-9 + 3x) = 15(x + -2)

Reorder the terms:
-9 + 3x = 15(-2 + x)
-9 + 3x = (-2 * 15 + x * 15)
-9 + 3x = (-30 + 15x)

Solving
-9 + 3x = -30 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
-9 + 3x + -15x = -30 + 15x + -15x

Combine like terms: 3x + -15x = -12x
-9 + -12x = -30 + 15x + -15x

Combine like terms: 15x + -15x = 0
-9 + -12x = -30 + 0
-9 + -12x = -30

Add '9' to each side of the equation.
-9 + 9 + -12x = -30 + 9

Combine like terms: -9 + 9 = 0
0 + -12x = -30 + 9
-12x = -30 + 9

Combine like terms: -30 + 9 = -21
-12x = -21

Divide each side by '-12'.
x = 1.75

Simplifying
x = 1.75

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