14(x+12)=22(x+10)

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Solution for 14(x+12)=22(x+10) equation:


Simplifying
14(x + 12) = 22(x + 10)

Reorder the terms:
14(12 + x) = 22(x + 10)
(12 * 14 + x * 14) = 22(x + 10)
(168 + 14x) = 22(x + 10)

Reorder the terms:
168 + 14x = 22(10 + x)
168 + 14x = (10 * 22 + x * 22)
168 + 14x = (220 + 22x)

Solving
168 + 14x = 220 + 22x

Solving for variable 'x'.

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

Add '-22x' to each side of the equation.
168 + 14x + -22x = 220 + 22x + -22x

Combine like terms: 14x + -22x = -8x
168 + -8x = 220 + 22x + -22x

Combine like terms: 22x + -22x = 0
168 + -8x = 220 + 0
168 + -8x = 220

Add '-168' to each side of the equation.
168 + -168 + -8x = 220 + -168

Combine like terms: 168 + -168 = 0
0 + -8x = 220 + -168
-8x = 220 + -168

Combine like terms: 220 + -168 = 52
-8x = 52

Divide each side by '-8'.
x = -6.5

Simplifying
x = -6.5

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