(2x-6)5+2((3-2x)3+(7x-18))=8+3

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Solution for (2x-6)5+2((3-2x)3+(7x-18))=8+3 equation: 


Simplifying
(2x + -6) * 5 + 2((3 + -2x) * 3 + (7x + -18)) = 8 + 3

Reorder the terms:
(-6 + 2x) * 5 + 2((3 + -2x) * 3 + (7x + -18)) = 8 + 3

Reorder the terms for easier multiplication:
5(-6 + 2x) + 2((3 + -2x) * 3 + (7x + -18)) = 8 + 3
(-6 * 5 + 2x * 5) + 2((3 + -2x) * 3 + (7x + -18)) = 8 + 3
(-30 + 10x) + 2((3 + -2x) * 3 + (7x + -18)) = 8 + 3

Reorder the terms for easier multiplication:
-30 + 10x + 2(3(3 + -2x) + (7x + -18)) = 8 + 3
-30 + 10x + 2((3 * 3 + -2x * 3) + (7x + -18)) = 8 + 3
-30 + 10x + 2((9 + -6x) + (7x + -18)) = 8 + 3

Reorder the terms:
-30 + 10x + 2(9 + -6x + (-18 + 7x)) = 8 + 3

Remove parenthesis around (-18 + 7x)
-30 + 10x + 2(9 + -6x + -18 + 7x) = 8 + 3

Reorder the terms:
-30 + 10x + 2(9 + -18 + -6x + 7x) = 8 + 3

Combine like terms: 9 + -18 = -9
-30 + 10x + 2(-9 + -6x + 7x) = 8 + 3

Combine like terms: -6x + 7x = 1x
-30 + 10x + 2(-9 + 1x) = 8 + 3
-30 + 10x + (-9 * 2 + 1x * 2) = 8 + 3
-30 + 10x + (-18 + 2x) = 8 + 3

Reorder the terms:
-30 + -18 + 10x + 2x = 8 + 3

Combine like terms: -30 + -18 = -48
-48 + 10x + 2x = 8 + 3

Combine like terms: 10x + 2x = 12x
-48 + 12x = 8 + 3

Combine like terms: 8 + 3 = 11
-48 + 12x = 11

Solving
-48 + 12x = 11

Solving for variable 'x'.

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

Add '48' to each side of the equation.
-48 + 48 + 12x = 11 + 48

Combine like terms: -48 + 48 = 0
0 + 12x = 11 + 48
12x = 11 + 48

Combine like terms: 11 + 48 = 59
12x = 59

Divide each side by '12'.
x = 4.916666667

Simplifying
x = 4.916666667

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