5x+7-2x-4+x=51+x-10

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Solution for 5x+7-2x-4+x=51+x-10 equation: 


Simplifying
5x + 7 + -2x + -4 + x = 51 + x + -10

Reorder the terms:
7 + -4 + 5x + -2x + x = 51 + x + -10

Combine like terms: 7 + -4 = 3
3 + 5x + -2x + x = 51 + x + -10

Combine like terms: 5x + -2x = 3x
3 + 3x + x = 51 + x + -10

Combine like terms: 3x + x = 4x
3 + 4x = 51 + x + -10

Reorder the terms:
3 + 4x = 51 + -10 + x

Combine like terms: 51 + -10 = 41
3 + 4x = 41 + x

Solving
3 + 4x = 41 + 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 + 4x + -1x = 41 + x + -1x

Combine like terms: 4x + -1x = 3x
3 + 3x = 41 + x + -1x

Combine like terms: x + -1x = 0
3 + 3x = 41 + 0
3 + 3x = 41

Add '-3' to each side of the equation.
3 + -3 + 3x = 41 + -3

Combine like terms: 3 + -3 = 0
0 + 3x = 41 + -3
3x = 41 + -3

Combine like terms: 41 + -3 = 38
3x = 38

Divide each side by '3'.
x = 12.66666667

Simplifying
x = 12.66666667

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