9-5x+2=7-6x+3(2x-7)

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Solution for 9-5x+2=7-6x+3(2x-7) equation:


Simplifying
9 + -5x + 2 = 7 + -6x + 3(2x + -7)

Reorder the terms:
9 + 2 + -5x = 7 + -6x + 3(2x + -7)

Combine like terms: 9 + 2 = 11
11 + -5x = 7 + -6x + 3(2x + -7)

Reorder the terms:
11 + -5x = 7 + -6x + 3(-7 + 2x)
11 + -5x = 7 + -6x + (-7 * 3 + 2x * 3)
11 + -5x = 7 + -6x + (-21 + 6x)

Reorder the terms:
11 + -5x = 7 + -21 + -6x + 6x

Combine like terms: 7 + -21 = -14
11 + -5x = -14 + -6x + 6x

Combine like terms: -6x + 6x = 0
11 + -5x = -14 + 0
11 + -5x = -14

Solving
11 + -5x = -14

Solving for variable 'x'.

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

Add '-11' to each side of the equation.
11 + -11 + -5x = -14 + -11

Combine like terms: 11 + -11 = 0
0 + -5x = -14 + -11
-5x = -14 + -11

Combine like terms: -14 + -11 = -25
-5x = -25

Divide each side by '-5'.
x = 5

Simplifying
x = 5

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