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

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


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

Combine like terms: -6x + -3x = -9x
6(8 + -9x) + 5(7x + 3) = 6
(8 * 6 + -9x * 6) + 5(7x + 3) = 6
(48 + -54x) + 5(7x + 3) = 6

Reorder the terms:
48 + -54x + 5(3 + 7x) = 6
48 + -54x + (3 * 5 + 7x * 5) = 6
48 + -54x + (15 + 35x) = 6

Reorder the terms:
48 + 15 + -54x + 35x = 6

Combine like terms: 48 + 15 = 63
63 + -54x + 35x = 6

Combine like terms: -54x + 35x = -19x
63 + -19x = 6

Solving
63 + -19x = 6

Solving for variable 'x'.

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

Add '-63' to each side of the equation.
63 + -63 + -19x = 6 + -63

Combine like terms: 63 + -63 = 0
0 + -19x = 6 + -63
-19x = 6 + -63

Combine like terms: 6 + -63 = -57
-19x = -57

Divide each side by '-19'.
x = 3

Simplifying
x = 3

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