6(5x-2)=15x-6

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Solution for 6(5x-2)=15x-6 equation:


Simplifying
6(5x + -2) = 15x + -6

Reorder the terms:
6(-2 + 5x) = 15x + -6
(-2 * 6 + 5x * 6) = 15x + -6
(-12 + 30x) = 15x + -6

Reorder the terms:
-12 + 30x = -6 + 15x

Solving
-12 + 30x = -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.
-12 + 30x + -15x = -6 + 15x + -15x

Combine like terms: 30x + -15x = 15x
-12 + 15x = -6 + 15x + -15x

Combine like terms: 15x + -15x = 0
-12 + 15x = -6 + 0
-12 + 15x = -6

Add '12' to each side of the equation.
-12 + 12 + 15x = -6 + 12

Combine like terms: -12 + 12 = 0
0 + 15x = -6 + 12
15x = -6 + 12

Combine like terms: -6 + 12 = 6
15x = 6

Divide each side by '15'.
x = 0.4

Simplifying
x = 0.4

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