2(6x+1)+3(8x+-5)=-1

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Solution for 2(6x+1)+3(8x+-5)=-1 equation:


Simplifying
2(6x + 1) + 3(8x + -5) = -1

Reorder the terms:
2(1 + 6x) + 3(8x + -5) = -1
(1 * 2 + 6x * 2) + 3(8x + -5) = -1
(2 + 12x) + 3(8x + -5) = -1

Reorder the terms:
2 + 12x + 3(-5 + 8x) = -1
2 + 12x + (-5 * 3 + 8x * 3) = -1
2 + 12x + (-15 + 24x) = -1

Reorder the terms:
2 + -15 + 12x + 24x = -1

Combine like terms: 2 + -15 = -13
-13 + 12x + 24x = -1

Combine like terms: 12x + 24x = 36x
-13 + 36x = -1

Solving
-13 + 36x = -1

Solving for variable 'x'.

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

Add '13' to each side of the equation.
-13 + 13 + 36x = -1 + 13

Combine like terms: -13 + 13 = 0
0 + 36x = -1 + 13
36x = -1 + 13

Combine like terms: -1 + 13 = 12
36x = 12

Divide each side by '36'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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