3(-4x+5)+6x=-51

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Solution for 3(-4x+5)+6x=-51 equation:


Simplifying
3(-4x + 5) + 6x = -51

Reorder the terms:
3(5 + -4x) + 6x = -51
(5 * 3 + -4x * 3) + 6x = -51
(15 + -12x) + 6x = -51

Combine like terms: -12x + 6x = -6x
15 + -6x = -51

Solving
15 + -6x = -51

Solving for variable 'x'.

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

Add '-15' to each side of the equation.
15 + -15 + -6x = -51 + -15

Combine like terms: 15 + -15 = 0
0 + -6x = -51 + -15
-6x = -51 + -15

Combine like terms: -51 + -15 = -66
-6x = -66

Divide each side by '-6'.
x = 11

Simplifying
x = 11

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