(4x+22)=(8x-10)

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Solution for (4x+22)=(8x-10) equation:


Simplifying
(4x + 22) = (8x + -10)

Reorder the terms:
(22 + 4x) = (8x + -10)

Remove parenthesis around (22 + 4x)
22 + 4x = (8x + -10)

Reorder the terms:
22 + 4x = (-10 + 8x)

Remove parenthesis around (-10 + 8x)
22 + 4x = -10 + 8x

Solving
22 + 4x = -10 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
22 + 4x + -8x = -10 + 8x + -8x

Combine like terms: 4x + -8x = -4x
22 + -4x = -10 + 8x + -8x

Combine like terms: 8x + -8x = 0
22 + -4x = -10 + 0
22 + -4x = -10

Add '-22' to each side of the equation.
22 + -22 + -4x = -10 + -22

Combine like terms: 22 + -22 = 0
0 + -4x = -10 + -22
-4x = -10 + -22

Combine like terms: -10 + -22 = -32
-4x = -32

Divide each side by '-4'.
x = 8

Simplifying
x = 8

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