3(-2x-4)=-7(x-2)

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Solution for 3(-2x-4)=-7(x-2) equation:


Simplifying
3(-2x + -4) = -7(x + -2)

Reorder the terms:
3(-4 + -2x) = -7(x + -2)
(-4 * 3 + -2x * 3) = -7(x + -2)
(-12 + -6x) = -7(x + -2)

Reorder the terms:
-12 + -6x = -7(-2 + x)
-12 + -6x = (-2 * -7 + x * -7)
-12 + -6x = (14 + -7x)

Solving
-12 + -6x = 14 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-12 + -6x + 7x = 14 + -7x + 7x

Combine like terms: -6x + 7x = 1x
-12 + 1x = 14 + -7x + 7x

Combine like terms: -7x + 7x = 0
-12 + 1x = 14 + 0
-12 + 1x = 14

Add '12' to each side of the equation.
-12 + 12 + 1x = 14 + 12

Combine like terms: -12 + 12 = 0
0 + 1x = 14 + 12
1x = 14 + 12

Combine like terms: 14 + 12 = 26
1x = 26

Divide each side by '1'.
x = 26

Simplifying
x = 26

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