22-(3x-5)=14+2x

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Solution for 22-(3x-5)=14+2x equation:


Simplifying
22 + -1(3x + -5) = 14 + 2x

Reorder the terms:
22 + -1(-5 + 3x) = 14 + 2x
22 + (-5 * -1 + 3x * -1) = 14 + 2x
22 + (5 + -3x) = 14 + 2x

Combine like terms: 22 + 5 = 27
27 + -3x = 14 + 2x

Solving
27 + -3x = 14 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
27 + -3x + -2x = 14 + 2x + -2x

Combine like terms: -3x + -2x = -5x
27 + -5x = 14 + 2x + -2x

Combine like terms: 2x + -2x = 0
27 + -5x = 14 + 0
27 + -5x = 14

Add '-27' to each side of the equation.
27 + -27 + -5x = 14 + -27

Combine like terms: 27 + -27 = 0
0 + -5x = 14 + -27
-5x = 14 + -27

Combine like terms: 14 + -27 = -13
-5x = -13

Divide each side by '-5'.
x = 2.6

Simplifying
x = 2.6

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