3x-10-5x+3=5-9x-7+2x

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Solution for 3x-10-5x+3=5-9x-7+2x equation:


Simplifying
3x + -10 + -5x + 3 = 5 + -9x + -7 + 2x

Reorder the terms:
-10 + 3 + 3x + -5x = 5 + -9x + -7 + 2x

Combine like terms: -10 + 3 = -7
-7 + 3x + -5x = 5 + -9x + -7 + 2x

Combine like terms: 3x + -5x = -2x
-7 + -2x = 5 + -9x + -7 + 2x

Reorder the terms:
-7 + -2x = 5 + -7 + -9x + 2x

Combine like terms: 5 + -7 = -2
-7 + -2x = -2 + -9x + 2x

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

Solving
-7 + -2x = -2 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-7 + -2x + 7x = -2 + -7x + 7x

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

Combine like terms: -7x + 7x = 0
-7 + 5x = -2 + 0
-7 + 5x = -2

Add '7' to each side of the equation.
-7 + 7 + 5x = -2 + 7

Combine like terms: -7 + 7 = 0
0 + 5x = -2 + 7
5x = -2 + 7

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

Divide each side by '5'.
x = 1

Simplifying
x = 1

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