2(x-3)15=3(x-1)

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Solution for 2(x-3)15=3(x-1) equation:


Simplifying
2(x + -3) * 15 = 3(x + -1)

Reorder the terms:
2(-3 + x) * 15 = 3(x + -1)

Reorder the terms for easier multiplication:
2 * 15(-3 + x) = 3(x + -1)

Multiply 2 * 15
30(-3 + x) = 3(x + -1)
(-3 * 30 + x * 30) = 3(x + -1)
(-90 + 30x) = 3(x + -1)

Reorder the terms:
-90 + 30x = 3(-1 + x)
-90 + 30x = (-1 * 3 + x * 3)
-90 + 30x = (-3 + 3x)

Solving
-90 + 30x = -3 + 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.
-90 + 30x + -3x = -3 + 3x + -3x

Combine like terms: 30x + -3x = 27x
-90 + 27x = -3 + 3x + -3x

Combine like terms: 3x + -3x = 0
-90 + 27x = -3 + 0
-90 + 27x = -3

Add '90' to each side of the equation.
-90 + 90 + 27x = -3 + 90

Combine like terms: -90 + 90 = 0
0 + 27x = -3 + 90
27x = -3 + 90

Combine like terms: -3 + 90 = 87
27x = 87

Divide each side by '27'.
x = 3.222222222

Simplifying
x = 3.222222222

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