2(x+5)+4(-x-3)=-8

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Solution for 2(x+5)+4(-x-3)=-8 equation:


Simplifying
2(x + 5) + 4(-1x + -3) = -8

Reorder the terms:
2(5 + x) + 4(-1x + -3) = -8
(5 * 2 + x * 2) + 4(-1x + -3) = -8
(10 + 2x) + 4(-1x + -3) = -8

Reorder the terms:
10 + 2x + 4(-3 + -1x) = -8
10 + 2x + (-3 * 4 + -1x * 4) = -8
10 + 2x + (-12 + -4x) = -8

Reorder the terms:
10 + -12 + 2x + -4x = -8

Combine like terms: 10 + -12 = -2
-2 + 2x + -4x = -8

Combine like terms: 2x + -4x = -2x
-2 + -2x = -8

Solving
-2 + -2x = -8

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 = -8 + 2

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

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

Divide each side by '-2'.
x = 3

Simplifying
x = 3

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