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

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


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

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

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

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

Combine like terms: 7x + -2x = 5x
-3 + 2x = -21 + 5x

Solving
-3 + 2x = -21 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-3 + 2x + -5x = -21 + 5x + -5x

Combine like terms: 2x + -5x = -3x
-3 + -3x = -21 + 5x + -5x

Combine like terms: 5x + -5x = 0
-3 + -3x = -21 + 0
-3 + -3x = -21

Add '3' to each side of the equation.
-3 + 3 + -3x = -21 + 3

Combine like terms: -3 + 3 = 0
0 + -3x = -21 + 3
-3x = -21 + 3

Combine like terms: -21 + 3 = -18
-3x = -18

Divide each side by '-3'.
x = 6

Simplifying
x = 6

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