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

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


Simplifying
2(2 + -1x) + 3(4 + -1x) = -4
(2 * 2 + -1x * 2) + 3(4 + -1x) = -4
(4 + -2x) + 3(4 + -1x) = -4
4 + -2x + (4 * 3 + -1x * 3) = -4
4 + -2x + (12 + -3x) = -4

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

Combine like terms: 4 + 12 = 16
16 + -2x + -3x = -4

Combine like terms: -2x + -3x = -5x
16 + -5x = -4

Solving
16 + -5x = -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 + -5x = -4 + -16

Combine like terms: 16 + -16 = 0
0 + -5x = -4 + -16
-5x = -4 + -16

Combine like terms: -4 + -16 = -20
-5x = -20

Divide each side by '-5'.
x = 4

Simplifying
x = 4

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