(7x+22)+(4x-8)=124

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Solution for (7x+22)+(4x-8)=124 equation:


Simplifying
(7x + 22) + (4x + -8) = 124

Reorder the terms:
(22 + 7x) + (4x + -8) = 124

Remove parenthesis around (22 + 7x)
22 + 7x + (4x + -8) = 124

Reorder the terms:
22 + 7x + (-8 + 4x) = 124

Remove parenthesis around (-8 + 4x)
22 + 7x + -8 + 4x = 124

Reorder the terms:
22 + -8 + 7x + 4x = 124

Combine like terms: 22 + -8 = 14
14 + 7x + 4x = 124

Combine like terms: 7x + 4x = 11x
14 + 11x = 124

Solving
14 + 11x = 124

Solving for variable 'x'.

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

Add '-14' to each side of the equation.
14 + -14 + 11x = 124 + -14

Combine like terms: 14 + -14 = 0
0 + 11x = 124 + -14
11x = 124 + -14

Combine like terms: 124 + -14 = 110
11x = 110

Divide each side by '11'.
x = 10

Simplifying
x = 10

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