3(-2x+1)=7(-3x-6)

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Solution for 3(-2x+1)=7(-3x-6) equation:


Simplifying
3(-2x + 1) = 7(-3x + -6)

Reorder the terms:
3(1 + -2x) = 7(-3x + -6)
(1 * 3 + -2x * 3) = 7(-3x + -6)
(3 + -6x) = 7(-3x + -6)

Reorder the terms:
3 + -6x = 7(-6 + -3x)
3 + -6x = (-6 * 7 + -3x * 7)
3 + -6x = (-42 + -21x)

Solving
3 + -6x = -42 + -21x

Solving for variable 'x'.

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

Add '21x' to each side of the equation.
3 + -6x + 21x = -42 + -21x + 21x

Combine like terms: -6x + 21x = 15x
3 + 15x = -42 + -21x + 21x

Combine like terms: -21x + 21x = 0
3 + 15x = -42 + 0
3 + 15x = -42

Add '-3' to each side of the equation.
3 + -3 + 15x = -42 + -3

Combine like terms: 3 + -3 = 0
0 + 15x = -42 + -3
15x = -42 + -3

Combine like terms: -42 + -3 = -45
15x = -45

Divide each side by '15'.
x = -3

Simplifying
x = -3

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