-5(4x+8)-6(3-x)+12(2x+4)=0

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Solution for -5(4x+8)-6(3-x)+12(2x+4)=0 equation:


Simplifying
-5(4x + 8) + -6(3 + -1x) + 12(2x + 4) = 0

Reorder the terms:
-5(8 + 4x) + -6(3 + -1x) + 12(2x + 4) = 0
(8 * -5 + 4x * -5) + -6(3 + -1x) + 12(2x + 4) = 0
(-40 + -20x) + -6(3 + -1x) + 12(2x + 4) = 0
-40 + -20x + (3 * -6 + -1x * -6) + 12(2x + 4) = 0
-40 + -20x + (-18 + 6x) + 12(2x + 4) = 0

Reorder the terms:
-40 + -20x + -18 + 6x + 12(4 + 2x) = 0
-40 + -20x + -18 + 6x + (4 * 12 + 2x * 12) = 0
-40 + -20x + -18 + 6x + (48 + 24x) = 0

Reorder the terms:
-40 + -18 + 48 + -20x + 6x + 24x = 0

Combine like terms: -40 + -18 = -58
-58 + 48 + -20x + 6x + 24x = 0

Combine like terms: -58 + 48 = -10
-10 + -20x + 6x + 24x = 0

Combine like terms: -20x + 6x = -14x
-10 + -14x + 24x = 0

Combine like terms: -14x + 24x = 10x
-10 + 10x = 0

Solving
-10 + 10x = 0

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 10x = 0 + 10

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

Combine like terms: 0 + 10 = 10
10x = 10

Divide each side by '10'.
x = 1

Simplifying
x = 1

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