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

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


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

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

Combine like terms: 5x + 15x = 20x
-6 + 20x = 6(6x + -2) + 2

Reorder the terms:
-6 + 20x = 6(-2 + 6x) + 2
-6 + 20x = (-2 * 6 + 6x * 6) + 2
-6 + 20x = (-12 + 36x) + 2

Reorder the terms:
-6 + 20x = -12 + 2 + 36x

Combine like terms: -12 + 2 = -10
-6 + 20x = -10 + 36x

Solving
-6 + 20x = -10 + 36x

Solving for variable 'x'.

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

Add '-36x' to each side of the equation.
-6 + 20x + -36x = -10 + 36x + -36x

Combine like terms: 20x + -36x = -16x
-6 + -16x = -10 + 36x + -36x

Combine like terms: 36x + -36x = 0
-6 + -16x = -10 + 0
-6 + -16x = -10

Add '6' to each side of the equation.
-6 + 6 + -16x = -10 + 6

Combine like terms: -6 + 6 = 0
0 + -16x = -10 + 6
-16x = -10 + 6

Combine like terms: -10 + 6 = -4
-16x = -4

Divide each side by '-16'.
x = 0.25

Simplifying
x = 0.25

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