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

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


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

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

Combine like terms: 3 + 3 = 6
6 + -7x = 5 + -3x + 7 + -10x

Reorder the terms:
6 + -7x = 5 + 7 + -3x + -10x

Combine like terms: 5 + 7 = 12
6 + -7x = 12 + -3x + -10x

Combine like terms: -3x + -10x = -13x
6 + -7x = 12 + -13x

Solving
6 + -7x = 12 + -13x

Solving for variable 'x'.

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

Add '13x' to each side of the equation.
6 + -7x + 13x = 12 + -13x + 13x

Combine like terms: -7x + 13x = 6x
6 + 6x = 12 + -13x + 13x

Combine like terms: -13x + 13x = 0
6 + 6x = 12 + 0
6 + 6x = 12

Add '-6' to each side of the equation.
6 + -6 + 6x = 12 + -6

Combine like terms: 6 + -6 = 0
0 + 6x = 12 + -6
6x = 12 + -6

Combine like terms: 12 + -6 = 6
6x = 6

Divide each side by '6'.
x = 1

Simplifying
x = 1

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