-4(x+3)-6x=2(-7x-2)

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Solution for -4(x+3)-6x=2(-7x-2) equation:


Simplifying
-4(x + 3) + -6x = 2(-7x + -2)

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

Combine like terms: -4x + -6x = -10x
-12 + -10x = 2(-7x + -2)

Reorder the terms:
-12 + -10x = 2(-2 + -7x)
-12 + -10x = (-2 * 2 + -7x * 2)
-12 + -10x = (-4 + -14x)

Solving
-12 + -10x = -4 + -14x

Solving for variable 'x'.

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

Add '14x' to each side of the equation.
-12 + -10x + 14x = -4 + -14x + 14x

Combine like terms: -10x + 14x = 4x
-12 + 4x = -4 + -14x + 14x

Combine like terms: -14x + 14x = 0
-12 + 4x = -4 + 0
-12 + 4x = -4

Add '12' to each side of the equation.
-12 + 12 + 4x = -4 + 12

Combine like terms: -12 + 12 = 0
0 + 4x = -4 + 12
4x = -4 + 12

Combine like terms: -4 + 12 = 8
4x = 8

Divide each side by '4'.
x = 2

Simplifying
x = 2

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