3(4x+6)+7(5x-8)=-38

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Solution for 3(4x+6)+7(5x-8)=-38 equation:


Simplifying
3(4x + 6) + 7(5x + -8) = -38

Reorder the terms:
3(6 + 4x) + 7(5x + -8) = -38
(6 * 3 + 4x * 3) + 7(5x + -8) = -38
(18 + 12x) + 7(5x + -8) = -38

Reorder the terms:
18 + 12x + 7(-8 + 5x) = -38
18 + 12x + (-8 * 7 + 5x * 7) = -38
18 + 12x + (-56 + 35x) = -38

Reorder the terms:
18 + -56 + 12x + 35x = -38

Combine like terms: 18 + -56 = -38
-38 + 12x + 35x = -38

Combine like terms: 12x + 35x = 47x
-38 + 47x = -38

Add '38' to each side of the equation.
-38 + 38 + 47x = -38 + 38

Combine like terms: -38 + 38 = 0
0 + 47x = -38 + 38
47x = -38 + 38

Combine like terms: -38 + 38 = 0
47x = 0

Solving
47x = 0

Solving for variable 'x'.

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

Divide each side by '47'.
x = 0

Simplifying
x = 0

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