6(3x-5)=3(5x-2)

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Solution for 6(3x-5)=3(5x-2) equation:


Simplifying
6(3x + -5) = 3(5x + -2)

Reorder the terms:
6(-5 + 3x) = 3(5x + -2)
(-5 * 6 + 3x * 6) = 3(5x + -2)
(-30 + 18x) = 3(5x + -2)

Reorder the terms:
-30 + 18x = 3(-2 + 5x)
-30 + 18x = (-2 * 3 + 5x * 3)
-30 + 18x = (-6 + 15x)

Solving
-30 + 18x = -6 + 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.
-30 + 18x + -15x = -6 + 15x + -15x

Combine like terms: 18x + -15x = 3x
-30 + 3x = -6 + 15x + -15x

Combine like terms: 15x + -15x = 0
-30 + 3x = -6 + 0
-30 + 3x = -6

Add '30' to each side of the equation.
-30 + 30 + 3x = -6 + 30

Combine like terms: -30 + 30 = 0
0 + 3x = -6 + 30
3x = -6 + 30

Combine like terms: -6 + 30 = 24
3x = 24

Divide each side by '3'.
x = 8

Simplifying
x = 8

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