14x-(5x+7)+22=4x

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Solution for 14x-(5x+7)+22=4x equation:


Simplifying
14x + -1(5x + 7) + 22 = 4x

Reorder the terms:
14x + -1(7 + 5x) + 22 = 4x
14x + (7 * -1 + 5x * -1) + 22 = 4x
14x + (-7 + -5x) + 22 = 4x

Reorder the terms:
-7 + 22 + 14x + -5x = 4x

Combine like terms: -7 + 22 = 15
15 + 14x + -5x = 4x

Combine like terms: 14x + -5x = 9x
15 + 9x = 4x

Solving
15 + 9x = 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
15 + 9x + -4x = 4x + -4x

Combine like terms: 9x + -4x = 5x
15 + 5x = 4x + -4x

Combine like terms: 4x + -4x = 0
15 + 5x = 0

Add '-15' to each side of the equation.
15 + -15 + 5x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 5x = 0 + -15
5x = 0 + -15

Combine like terms: 0 + -15 = -15
5x = -15

Divide each side by '5'.
x = -3

Simplifying
x = -3

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