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

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


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

Reorder the terms:
22 + -3(-5 + x) = 14 + 2x
22 + (-5 * -3 + x * -3) = 14 + 2x
22 + (15 + -3x) = 14 + 2x

Combine like terms: 22 + 15 = 37
37 + -3x = 14 + 2x

Solving
37 + -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.
37 + -3x + -2x = 14 + 2x + -2x

Combine like terms: -3x + -2x = -5x
37 + -5x = 14 + 2x + -2x

Combine like terms: 2x + -2x = 0
37 + -5x = 14 + 0
37 + -5x = 14

Add '-37' to each side of the equation.
37 + -37 + -5x = 14 + -37

Combine like terms: 37 + -37 = 0
0 + -5x = 14 + -37
-5x = 14 + -37

Combine like terms: 14 + -37 = -23
-5x = -23

Divide each side by '-5'.
x = 4.6

Simplifying
x = 4.6

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