10(x-2)+12(x+4)=1

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Solution for 10(x-2)+12(x+4)=1 equation:


Simplifying
10(x + -2) + 12(x + 4) = 1

Reorder the terms:
10(-2 + x) + 12(x + 4) = 1
(-2 * 10 + x * 10) + 12(x + 4) = 1
(-20 + 10x) + 12(x + 4) = 1

Reorder the terms:
-20 + 10x + 12(4 + x) = 1
-20 + 10x + (4 * 12 + x * 12) = 1
-20 + 10x + (48 + 12x) = 1

Reorder the terms:
-20 + 48 + 10x + 12x = 1

Combine like terms: -20 + 48 = 28
28 + 10x + 12x = 1

Combine like terms: 10x + 12x = 22x
28 + 22x = 1

Solving
28 + 22x = 1

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 + 22x = 1 + -28

Combine like terms: 28 + -28 = 0
0 + 22x = 1 + -28
22x = 1 + -28

Combine like terms: 1 + -28 = -27
22x = -27

Divide each side by '22'.
x = -1.227272727

Simplifying
x = -1.227272727

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