6-(2x+3)=10-x

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Solution for 6-(2x+3)=10-x equation:


Simplifying
6 + -1(2x + 3) = 10 + -1x

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

Combine like terms: 6 + -3 = 3
3 + -2x = 10 + -1x

Solving
3 + -2x = 10 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
3 + -2x + x = 10 + -1x + x

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

Combine like terms: -1x + x = 0
3 + -1x = 10 + 0
3 + -1x = 10

Add '-3' to each side of the equation.
3 + -3 + -1x = 10 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 10 + -3
-1x = 10 + -3

Combine like terms: 10 + -3 = 7
-1x = 7

Divide each side by '-1'.
x = -7

Simplifying
x = -7

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