6(15x+10)-29-(x-32)=7(11x+11)

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Solution for 6(15x+10)-29-(x-32)=7(11x+11) equation:


Simplifying
6(15x + 10) + -29 + -1(x + -32) = 7(11x + 11)

Reorder the terms:
6(10 + 15x) + -29 + -1(x + -32) = 7(11x + 11)
(10 * 6 + 15x * 6) + -29 + -1(x + -32) = 7(11x + 11)
(60 + 90x) + -29 + -1(x + -32) = 7(11x + 11)

Reorder the terms:
60 + 90x + -29 + -1(-32 + x) = 7(11x + 11)
60 + 90x + -29 + (-32 * -1 + x * -1) = 7(11x + 11)
60 + 90x + -29 + (32 + -1x) = 7(11x + 11)

Reorder the terms:
60 + -29 + 32 + 90x + -1x = 7(11x + 11)

Combine like terms: 60 + -29 = 31
31 + 32 + 90x + -1x = 7(11x + 11)

Combine like terms: 31 + 32 = 63
63 + 90x + -1x = 7(11x + 11)

Combine like terms: 90x + -1x = 89x
63 + 89x = 7(11x + 11)

Reorder the terms:
63 + 89x = 7(11 + 11x)
63 + 89x = (11 * 7 + 11x * 7)
63 + 89x = (77 + 77x)

Solving
63 + 89x = 77 + 77x

Solving for variable 'x'.

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

Add '-77x' to each side of the equation.
63 + 89x + -77x = 77 + 77x + -77x

Combine like terms: 89x + -77x = 12x
63 + 12x = 77 + 77x + -77x

Combine like terms: 77x + -77x = 0
63 + 12x = 77 + 0
63 + 12x = 77

Add '-63' to each side of the equation.
63 + -63 + 12x = 77 + -63

Combine like terms: 63 + -63 = 0
0 + 12x = 77 + -63
12x = 77 + -63

Combine like terms: 77 + -63 = 14
12x = 14

Divide each side by '12'.
x = 1.166666667

Simplifying
x = 1.166666667

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