4(x+8)-2(x+2)=-10

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Solution for 4(x+8)-2(x+2)=-10 equation: 


Simplifying
4(x + 8) + -2(x + 2) = -10

Reorder the terms:
4(8 + x) + -2(x + 2) = -10
(8 * 4 + x * 4) + -2(x + 2) = -10
(32 + 4x) + -2(x + 2) = -10

Reorder the terms:
32 + 4x + -2(2 + x) = -10
32 + 4x + (2 * -2 + x * -2) = -10
32 + 4x + (-4 + -2x) = -10

Reorder the terms:
32 + -4 + 4x + -2x = -10

Combine like terms: 32 + -4 = 28
28 + 4x + -2x = -10

Combine like terms: 4x + -2x = 2x
28 + 2x = -10

Solving
28 + 2x = -10

Solving for variable 'x'.

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

Add '-28' to each side of the equation.
28 + -28 + 2x = -10 + -28

Combine like terms: 28 + -28 = 0
0 + 2x = -10 + -28
2x = -10 + -28

Combine like terms: -10 + -28 = -38
2x = -38

Divide each side by '2'.
x = -19

Simplifying
x = -19

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