6(6x-1)-5(3x-6)=20x+10

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Solution for 6(6x-1)-5(3x-6)=20x+10 equation:


Simplifying
6(6x + -1) + -5(3x + -6) = 20x + 10

Reorder the terms:
6(-1 + 6x) + -5(3x + -6) = 20x + 10
(-1 * 6 + 6x * 6) + -5(3x + -6) = 20x + 10
(-6 + 36x) + -5(3x + -6) = 20x + 10

Reorder the terms:
-6 + 36x + -5(-6 + 3x) = 20x + 10
-6 + 36x + (-6 * -5 + 3x * -5) = 20x + 10
-6 + 36x + (30 + -15x) = 20x + 10

Reorder the terms:
-6 + 30 + 36x + -15x = 20x + 10

Combine like terms: -6 + 30 = 24
24 + 36x + -15x = 20x + 10

Combine like terms: 36x + -15x = 21x
24 + 21x = 20x + 10

Reorder the terms:
24 + 21x = 10 + 20x

Solving
24 + 21x = 10 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
24 + 21x + -20x = 10 + 20x + -20x

Combine like terms: 21x + -20x = 1x
24 + 1x = 10 + 20x + -20x

Combine like terms: 20x + -20x = 0
24 + 1x = 10 + 0
24 + 1x = 10

Add '-24' to each side of the equation.
24 + -24 + 1x = 10 + -24

Combine like terms: 24 + -24 = 0
0 + 1x = 10 + -24
1x = 10 + -24

Combine like terms: 10 + -24 = -14
1x = -14

Divide each side by '1'.
x = -14

Simplifying
x = -14

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