6(x+4)-3(6x+5)=5

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Solution for 6(x+4)-3(6x+5)=5 equation:


Simplifying
6(x + 4) + -3(6x + 5) = 5

Reorder the terms:
6(4 + x) + -3(6x + 5) = 5
(4 * 6 + x * 6) + -3(6x + 5) = 5
(24 + 6x) + -3(6x + 5) = 5

Reorder the terms:
24 + 6x + -3(5 + 6x) = 5
24 + 6x + (5 * -3 + 6x * -3) = 5
24 + 6x + (-15 + -18x) = 5

Reorder the terms:
24 + -15 + 6x + -18x = 5

Combine like terms: 24 + -15 = 9
9 + 6x + -18x = 5

Combine like terms: 6x + -18x = -12x
9 + -12x = 5

Solving
9 + -12x = 5

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + -12x = 5 + -9

Combine like terms: 9 + -9 = 0
0 + -12x = 5 + -9
-12x = 5 + -9

Combine like terms: 5 + -9 = -4
-12x = -4

Divide each side by '-12'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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