-2(x+7)-3(2x-4)=-18

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Solution for -2(x+7)-3(2x-4)=-18 equation:


Simplifying
-2(x + 7) + -3(2x + -4) = -18

Reorder the terms:
-2(7 + x) + -3(2x + -4) = -18
(7 * -2 + x * -2) + -3(2x + -4) = -18
(-14 + -2x) + -3(2x + -4) = -18

Reorder the terms:
-14 + -2x + -3(-4 + 2x) = -18
-14 + -2x + (-4 * -3 + 2x * -3) = -18
-14 + -2x + (12 + -6x) = -18

Reorder the terms:
-14 + 12 + -2x + -6x = -18

Combine like terms: -14 + 12 = -2
-2 + -2x + -6x = -18

Combine like terms: -2x + -6x = -8x
-2 + -8x = -18

Solving
-2 + -8x = -18

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + -8x = -18 + 2

Combine like terms: -2 + 2 = 0
0 + -8x = -18 + 2
-8x = -18 + 2

Combine like terms: -18 + 2 = -16
-8x = -16

Divide each side by '-8'.
x = 2

Simplifying
x = 2

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