4(2x+2)+2(-3x+-3)=16

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Solution for 4(2x+2)+2(-3x+-3)=16 equation:


Simplifying
4(2x + 2) + 2(-3x + -3) = 16

Reorder the terms:
4(2 + 2x) + 2(-3x + -3) = 16
(2 * 4 + 2x * 4) + 2(-3x + -3) = 16
(8 + 8x) + 2(-3x + -3) = 16

Reorder the terms:
8 + 8x + 2(-3 + -3x) = 16
8 + 8x + (-3 * 2 + -3x * 2) = 16
8 + 8x + (-6 + -6x) = 16

Reorder the terms:
8 + -6 + 8x + -6x = 16

Combine like terms: 8 + -6 = 2
2 + 8x + -6x = 16

Combine like terms: 8x + -6x = 2x
2 + 2x = 16

Solving
2 + 2x = 16

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 + 2x = 16 + -2

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

Combine like terms: 16 + -2 = 14
2x = 14

Divide each side by '2'.
x = 7

Simplifying
x = 7

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