7x+1-5x+4=7x+2-x+6

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Solution for 7x+1-5x+4=7x+2-x+6 equation: 


Simplifying
7x + 1 + -5x + 4 = 7x + 2 + -1x + 6

Reorder the terms:
1 + 4 + 7x + -5x = 7x + 2 + -1x + 6

Combine like terms: 1 + 4 = 5
5 + 7x + -5x = 7x + 2 + -1x + 6

Combine like terms: 7x + -5x = 2x
5 + 2x = 7x + 2 + -1x + 6

Reorder the terms:
5 + 2x = 2 + 6 + 7x + -1x

Combine like terms: 2 + 6 = 8
5 + 2x = 8 + 7x + -1x

Combine like terms: 7x + -1x = 6x
5 + 2x = 8 + 6x

Solving
5 + 2x = 8 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
5 + 2x + -6x = 8 + 6x + -6x

Combine like terms: 2x + -6x = -4x
5 + -4x = 8 + 6x + -6x

Combine like terms: 6x + -6x = 0
5 + -4x = 8 + 0
5 + -4x = 8

Add '-5' to each side of the equation.
5 + -5 + -4x = 8 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = 8 + -5
-4x = 8 + -5

Combine like terms: 8 + -5 = 3
-4x = 3

Divide each side by '-4'.
x = -0.75

Simplifying
x = -0.75

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