2(3x-1)=3(5x-7)

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Solution for 2(3x-1)=3(5x-7) equation:


Simplifying
2(3x + -1) = 3(5x + -7)

Reorder the terms:
2(-1 + 3x) = 3(5x + -7)
(-1 * 2 + 3x * 2) = 3(5x + -7)
(-2 + 6x) = 3(5x + -7)

Reorder the terms:
-2 + 6x = 3(-7 + 5x)
-2 + 6x = (-7 * 3 + 5x * 3)
-2 + 6x = (-21 + 15x)

Solving
-2 + 6x = -21 + 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.
-2 + 6x + -15x = -21 + 15x + -15x

Combine like terms: 6x + -15x = -9x
-2 + -9x = -21 + 15x + -15x

Combine like terms: 15x + -15x = 0
-2 + -9x = -21 + 0
-2 + -9x = -21

Add '2' to each side of the equation.
-2 + 2 + -9x = -21 + 2

Combine like terms: -2 + 2 = 0
0 + -9x = -21 + 2
-9x = -21 + 2

Combine like terms: -21 + 2 = -19
-9x = -19

Divide each side by '-9'.
x = 2.111111111

Simplifying
x = 2.111111111

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