2x-3+5x-7=3x-6+x

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


Simplifying
2x + -3 + 5x + -7 = 3x + -6 + x

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

Combine like terms: -3 + -7 = -10
-10 + 2x + 5x = 3x + -6 + x

Combine like terms: 2x + 5x = 7x
-10 + 7x = 3x + -6 + x

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

Combine like terms: 3x + x = 4x
-10 + 7x = -6 + 4x

Solving
-10 + 7x = -6 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-10 + 7x + -4x = -6 + 4x + -4x

Combine like terms: 7x + -4x = 3x
-10 + 3x = -6 + 4x + -4x

Combine like terms: 4x + -4x = 0
-10 + 3x = -6 + 0
-10 + 3x = -6

Add '10' to each side of the equation.
-10 + 10 + 3x = -6 + 10

Combine like terms: -10 + 10 = 0
0 + 3x = -6 + 10
3x = -6 + 10

Combine like terms: -6 + 10 = 4
3x = 4

Divide each side by '3'.
x = 1.333333333

Simplifying
x = 1.333333333

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