3x-10+3x=6(6x-3)+3

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Solution for 3x-10+3x=6(6x-3)+3 equation:


Simplifying
3x + -10 + 3x = 6(6x + -3) + 3

Reorder the terms:
-10 + 3x + 3x = 6(6x + -3) + 3

Combine like terms: 3x + 3x = 6x
-10 + 6x = 6(6x + -3) + 3

Reorder the terms:
-10 + 6x = 6(-3 + 6x) + 3
-10 + 6x = (-3 * 6 + 6x * 6) + 3
-10 + 6x = (-18 + 36x) + 3

Reorder the terms:
-10 + 6x = -18 + 3 + 36x

Combine like terms: -18 + 3 = -15
-10 + 6x = -15 + 36x

Solving
-10 + 6x = -15 + 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.
-10 + 6x + -36x = -15 + 36x + -36x

Combine like terms: 6x + -36x = -30x
-10 + -30x = -15 + 36x + -36x

Combine like terms: 36x + -36x = 0
-10 + -30x = -15 + 0
-10 + -30x = -15

Add '10' to each side of the equation.
-10 + 10 + -30x = -15 + 10

Combine like terms: -10 + 10 = 0
0 + -30x = -15 + 10
-30x = -15 + 10

Combine like terms: -15 + 10 = -5
-30x = -5

Divide each side by '-30'.
x = 0.1666666667

Simplifying
x = 0.1666666667

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