3x+1=7-x+5x

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Solution for 3x+1=7-x+5x equation:


Simplifying
3x + 1 = 7 + -1x + 5x

Reorder the terms:
1 + 3x = 7 + -1x + 5x

Combine like terms: -1x + 5x = 4x
1 + 3x = 7 + 4x

Solving
1 + 3x = 7 + 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.
1 + 3x + -4x = 7 + 4x + -4x

Combine like terms: 3x + -4x = -1x
1 + -1x = 7 + 4x + -4x

Combine like terms: 4x + -4x = 0
1 + -1x = 7 + 0
1 + -1x = 7

Add '-1' to each side of the equation.
1 + -1 + -1x = 7 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = 7 + -1
-1x = 7 + -1

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

Divide each side by '-1'.
x = -6

Simplifying
x = -6

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