6x-7+4x-7x+10=x+13

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Solution for 6x-7+4x-7x+10=x+13 equation: 


Simplifying
6x + -7 + 4x + -7x + 10 = x + 13

Reorder the terms:
-7 + 10 + 6x + 4x + -7x = x + 13

Combine like terms: -7 + 10 = 3
3 + 6x + 4x + -7x = x + 13

Combine like terms: 6x + 4x = 10x
3 + 10x + -7x = x + 13

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

Reorder the terms:
3 + 3x = 13 + x

Solving
3 + 3x = 13 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
3 + 3x + -1x = 13 + x + -1x

Combine like terms: 3x + -1x = 2x
3 + 2x = 13 + x + -1x

Combine like terms: x + -1x = 0
3 + 2x = 13 + 0
3 + 2x = 13

Add '-3' to each side of the equation.
3 + -3 + 2x = 13 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = 13 + -3
2x = 13 + -3

Combine like terms: 13 + -3 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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