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

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


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

Reorder the terms:
-2(-6 + 4x) + x = -3(x + 2)
(-6 * -2 + 4x * -2) + x = -3(x + 2)
(12 + -8x) + x = -3(x + 2)

Combine like terms: -8x + x = -7x
12 + -7x = -3(x + 2)

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

Solving
12 + -7x = -6 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
12 + -7x + 3x = -6 + -3x + 3x

Combine like terms: -7x + 3x = -4x
12 + -4x = -6 + -3x + 3x

Combine like terms: -3x + 3x = 0
12 + -4x = -6 + 0
12 + -4x = -6

Add '-12' to each side of the equation.
12 + -12 + -4x = -6 + -12

Combine like terms: 12 + -12 = 0
0 + -4x = -6 + -12
-4x = -6 + -12

Combine like terms: -6 + -12 = -18
-4x = -18

Divide each side by '-4'.
x = 4.5

Simplifying
x = 4.5

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