7-(2x-9)=2-3x

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Solution for 7-(2x-9)=2-3x equation:


Simplifying
7 + -1(2x + -9) = 2 + -3x

Reorder the terms:
7 + -1(-9 + 2x) = 2 + -3x
7 + (-9 * -1 + 2x * -1) = 2 + -3x
7 + (9 + -2x) = 2 + -3x

Combine like terms: 7 + 9 = 16
16 + -2x = 2 + -3x

Solving
16 + -2x = 2 + -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.
16 + -2x + 3x = 2 + -3x + 3x

Combine like terms: -2x + 3x = 1x
16 + 1x = 2 + -3x + 3x

Combine like terms: -3x + 3x = 0
16 + 1x = 2 + 0
16 + 1x = 2

Add '-16' to each side of the equation.
16 + -16 + 1x = 2 + -16

Combine like terms: 16 + -16 = 0
0 + 1x = 2 + -16
1x = 2 + -16

Combine like terms: 2 + -16 = -14
1x = -14

Divide each side by '1'.
x = -14

Simplifying
x = -14

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