22-3(x-2)=5(4-x)+10

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Solution for 22-3(x-2)=5(4-x)+10 equation: 


Simplifying
22 + -3(x + -2) = 5(4 + -1x) + 10

Reorder the terms:
22 + -3(-2 + x) = 5(4 + -1x) + 10
22 + (-2 * -3 + x * -3) = 5(4 + -1x) + 10
22 + (6 + -3x) = 5(4 + -1x) + 10

Combine like terms: 22 + 6 = 28
28 + -3x = 5(4 + -1x) + 10
28 + -3x = (4 * 5 + -1x * 5) + 10
28 + -3x = (20 + -5x) + 10

Reorder the terms:
28 + -3x = 20 + 10 + -5x

Combine like terms: 20 + 10 = 30
28 + -3x = 30 + -5x

Solving
28 + -3x = 30 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
28 + -3x + 5x = 30 + -5x + 5x

Combine like terms: -3x + 5x = 2x
28 + 2x = 30 + -5x + 5x

Combine like terms: -5x + 5x = 0
28 + 2x = 30 + 0
28 + 2x = 30

Add '-28' to each side of the equation.
28 + -28 + 2x = 30 + -28

Combine like terms: 28 + -28 = 0
0 + 2x = 30 + -28
2x = 30 + -28

Combine like terms: 30 + -28 = 2
2x = 2

Divide each side by '2'.
x = 1

Simplifying
x = 1

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