(3+5x)=22-2(8-2x)

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Solution for (3+5x)=22-2(8-2x) equation:


Simplifying
(3 + 5x) = 22 + -2(8 + -2x)

Remove parenthesis around (3 + 5x)
3 + 5x = 22 + -2(8 + -2x)
3 + 5x = 22 + (8 * -2 + -2x * -2)
3 + 5x = 22 + (-16 + 4x)

Combine like terms: 22 + -16 = 6
3 + 5x = 6 + 4x

Solving
3 + 5x = 6 + 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.
3 + 5x + -4x = 6 + 4x + -4x

Combine like terms: 5x + -4x = 1x
3 + 1x = 6 + 4x + -4x

Combine like terms: 4x + -4x = 0
3 + 1x = 6 + 0
3 + 1x = 6

Add '-3' to each side of the equation.
3 + -3 + 1x = 6 + -3

Combine like terms: 3 + -3 = 0
0 + 1x = 6 + -3
1x = 6 + -3

Combine like terms: 6 + -3 = 3
1x = 3

Divide each side by '1'.
x = 3

Simplifying
x = 3

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