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

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


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

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

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

Reorder the terms:
4 + 12 + 2x + -4x = -4

Combine like terms: 4 + 12 = 16
16 + 2x + -4x = -4

Combine like terms: 2x + -4x = -2x
16 + -2x = -4

Solving
16 + -2x = -4

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + -2x = -4 + -16

Combine like terms: 16 + -16 = 0
0 + -2x = -4 + -16
-2x = -4 + -16

Combine like terms: -4 + -16 = -20
-2x = -20

Divide each side by '-2'.
x = 10

Simplifying
x = 10

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