6x-7=3x+1

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Solution for 6x-7=3x+1 equation:


Simplifying
6x + -7 = 3x + 1

Reorder the terms:
-7 + 6x = 3x + 1

Reorder the terms:
-7 + 6x = 1 + 3x

Solving
-7 + 6x = 1 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-7 + 6x + -3x = 1 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-7 + 3x = 1 + 3x + -3x

Combine like terms: 3x + -3x = 0
-7 + 3x = 1 + 0
-7 + 3x = 1

Add '7' to each side of the equation.
-7 + 7 + 3x = 1 + 7

Combine like terms: -7 + 7 = 0
0 + 3x = 1 + 7
3x = 1 + 7

Combine like terms: 1 + 7 = 8
3x = 8

Divide each side by '3'.
x = 2.666666667

Simplifying
x = 2.666666667

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