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

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


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

Reorder the terms:
3(1 + 3x) + -1(x + -1) = 6(x + 10)
(1 * 3 + 3x * 3) + -1(x + -1) = 6(x + 10)
(3 + 9x) + -1(x + -1) = 6(x + 10)

Reorder the terms:
3 + 9x + -1(-1 + x) = 6(x + 10)
3 + 9x + (-1 * -1 + x * -1) = 6(x + 10)
3 + 9x + (1 + -1x) = 6(x + 10)

Reorder the terms:
3 + 1 + 9x + -1x = 6(x + 10)

Combine like terms: 3 + 1 = 4
4 + 9x + -1x = 6(x + 10)

Combine like terms: 9x + -1x = 8x
4 + 8x = 6(x + 10)

Reorder the terms:
4 + 8x = 6(10 + x)
4 + 8x = (10 * 6 + x * 6)
4 + 8x = (60 + 6x)

Solving
4 + 8x = 60 + 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.
4 + 8x + -6x = 60 + 6x + -6x

Combine like terms: 8x + -6x = 2x
4 + 2x = 60 + 6x + -6x

Combine like terms: 6x + -6x = 0
4 + 2x = 60 + 0
4 + 2x = 60

Add '-4' to each side of the equation.
4 + -4 + 2x = 60 + -4

Combine like terms: 4 + -4 = 0
0 + 2x = 60 + -4
2x = 60 + -4

Combine like terms: 60 + -4 = 56
2x = 56

Divide each side by '2'.
x = 28

Simplifying
x = 28

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