22-(4-x)=8-3x

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Solution for 22-(4-x)=8-3x equation:


Simplifying
22 + -1(4 + -1x) = 8 + -3x
22 + (4 * -1 + -1x * -1) = 8 + -3x
22 + (-4 + 1x) = 8 + -3x

Combine like terms: 22 + -4 = 18
18 + 1x = 8 + -3x

Solving
18 + 1x = 8 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
18 + 1x + 3x = 8 + -3x + 3x

Combine like terms: 1x + 3x = 4x
18 + 4x = 8 + -3x + 3x

Combine like terms: -3x + 3x = 0
18 + 4x = 8 + 0
18 + 4x = 8

Add '-18' to each side of the equation.
18 + -18 + 4x = 8 + -18

Combine like terms: 18 + -18 = 0
0 + 4x = 8 + -18
4x = 8 + -18

Combine like terms: 8 + -18 = -10
4x = -10

Divide each side by '4'.
x = -2.5

Simplifying
x = -2.5

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