6x+1=2x-6

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Solution for 6x+1=2x-6 equation:


Simplifying
6x + 1 = 2x + -6

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

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

Solving
1 + 6x = -6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
1 + 6x + -2x = -6 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
1 + 4x = -6 + 0
1 + 4x = -6

Add '-1' to each side of the equation.
1 + -1 + 4x = -6 + -1

Combine like terms: 1 + -1 = 0
0 + 4x = -6 + -1
4x = -6 + -1

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

Divide each side by '4'.
x = -1.75

Simplifying
x = -1.75

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