10-(9-x)=3+2x

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Solution for 10-(9-x)=3+2x equation:


Simplifying
10 + -1(9 + -1x) = 3 + 2x
10 + (9 * -1 + -1x * -1) = 3 + 2x
10 + (-9 + 1x) = 3 + 2x

Combine like terms: 10 + -9 = 1
1 + 1x = 3 + 2x

Solving
1 + 1x = 3 + 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.
1 + 1x + -2x = 3 + 2x + -2x

Combine like terms: 1x + -2x = -1x
1 + -1x = 3 + 2x + -2x

Combine like terms: 2x + -2x = 0
1 + -1x = 3 + 0
1 + -1x = 3

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

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

Combine like terms: 3 + -1 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

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