2-3(2x-5)=7-x

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


Simplifying
2 + -3(2x + -5) = 7 + -1x

Reorder the terms:
2 + -3(-5 + 2x) = 7 + -1x
2 + (-5 * -3 + 2x * -3) = 7 + -1x
2 + (15 + -6x) = 7 + -1x

Combine like terms: 2 + 15 = 17
17 + -6x = 7 + -1x

Solving
17 + -6x = 7 + -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.
17 + -6x + x = 7 + -1x + x

Combine like terms: -6x + x = -5x
17 + -5x = 7 + -1x + x

Combine like terms: -1x + x = 0
17 + -5x = 7 + 0
17 + -5x = 7

Add '-17' to each side of the equation.
17 + -17 + -5x = 7 + -17

Combine like terms: 17 + -17 = 0
0 + -5x = 7 + -17
-5x = 7 + -17

Combine like terms: 7 + -17 = -10
-5x = -10

Divide each side by '-5'.
x = 2

Simplifying
x = 2

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