54=6x+3(-7x-12)

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Solution for 54=6x+3(-7x-12) equation:


Simplifying
54 = 6x + 3(-7x + -12)

Reorder the terms:
54 = 6x + 3(-12 + -7x)
54 = 6x + (-12 * 3 + -7x * 3)
54 = 6x + (-36 + -21x)

Reorder the terms:
54 = -36 + 6x + -21x

Combine like terms: 6x + -21x = -15x
54 = -36 + -15x

Solving
54 = -36 + -15x

Solving for variable 'x'.

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

Add '15x' to each side of the equation.
54 + 15x = -36 + -15x + 15x

Combine like terms: -15x + 15x = 0
54 + 15x = -36 + 0
54 + 15x = -36

Add '-54' to each side of the equation.
54 + -54 + 15x = -36 + -54

Combine like terms: 54 + -54 = 0
0 + 15x = -36 + -54
15x = -36 + -54

Combine like terms: -36 + -54 = -90
15x = -90

Divide each side by '15'.
x = -6

Simplifying
x = -6

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