10(3x+10)-5(3x-2)=6(6x+1)-10(3x-11)

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Solution for 10(3x+10)-5(3x-2)=6(6x+1)-10(3x-11) equation:


Simplifying
10(3x + 10) + -5(3x + -2) = 6(6x + 1) + -10(3x + -11)

Reorder the terms:
10(10 + 3x) + -5(3x + -2) = 6(6x + 1) + -10(3x + -11)
(10 * 10 + 3x * 10) + -5(3x + -2) = 6(6x + 1) + -10(3x + -11)
(100 + 30x) + -5(3x + -2) = 6(6x + 1) + -10(3x + -11)

Reorder the terms:
100 + 30x + -5(-2 + 3x) = 6(6x + 1) + -10(3x + -11)
100 + 30x + (-2 * -5 + 3x * -5) = 6(6x + 1) + -10(3x + -11)
100 + 30x + (10 + -15x) = 6(6x + 1) + -10(3x + -11)

Reorder the terms:
100 + 10 + 30x + -15x = 6(6x + 1) + -10(3x + -11)

Combine like terms: 100 + 10 = 110
110 + 30x + -15x = 6(6x + 1) + -10(3x + -11)

Combine like terms: 30x + -15x = 15x
110 + 15x = 6(6x + 1) + -10(3x + -11)

Reorder the terms:
110 + 15x = 6(1 + 6x) + -10(3x + -11)
110 + 15x = (1 * 6 + 6x * 6) + -10(3x + -11)
110 + 15x = (6 + 36x) + -10(3x + -11)

Reorder the terms:
110 + 15x = 6 + 36x + -10(-11 + 3x)
110 + 15x = 6 + 36x + (-11 * -10 + 3x * -10)
110 + 15x = 6 + 36x + (110 + -30x)

Reorder the terms:
110 + 15x = 6 + 110 + 36x + -30x

Combine like terms: 6 + 110 = 116
110 + 15x = 116 + 36x + -30x

Combine like terms: 36x + -30x = 6x
110 + 15x = 116 + 6x

Solving
110 + 15x = 116 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
110 + 15x + -6x = 116 + 6x + -6x

Combine like terms: 15x + -6x = 9x
110 + 9x = 116 + 6x + -6x

Combine like terms: 6x + -6x = 0
110 + 9x = 116 + 0
110 + 9x = 116

Add '-110' to each side of the equation.
110 + -110 + 9x = 116 + -110

Combine like terms: 110 + -110 = 0
0 + 9x = 116 + -110
9x = 116 + -110

Combine like terms: 116 + -110 = 6
9x = 6

Divide each side by '9'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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