3x+1-7(x+1)=6x+2

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Solution for 3x+1-7(x+1)=6x+2 equation:


Simplifying
3x + 1 + -7(x + 1) = 6x + 2

Reorder the terms:
3x + 1 + -7(1 + x) = 6x + 2
3x + 1 + (1 * -7 + x * -7) = 6x + 2
3x + 1 + (-7 + -7x) = 6x + 2

Reorder the terms:
1 + -7 + 3x + -7x = 6x + 2

Combine like terms: 1 + -7 = -6
-6 + 3x + -7x = 6x + 2

Combine like terms: 3x + -7x = -4x
-6 + -4x = 6x + 2

Reorder the terms:
-6 + -4x = 2 + 6x

Solving
-6 + -4x = 2 + 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.
-6 + -4x + -6x = 2 + 6x + -6x

Combine like terms: -4x + -6x = -10x
-6 + -10x = 2 + 6x + -6x

Combine like terms: 6x + -6x = 0
-6 + -10x = 2 + 0
-6 + -10x = 2

Add '6' to each side of the equation.
-6 + 6 + -10x = 2 + 6

Combine like terms: -6 + 6 = 0
0 + -10x = 2 + 6
-10x = 2 + 6

Combine like terms: 2 + 6 = 8
-10x = 8

Divide each side by '-10'.
x = -0.8

Simplifying
x = -0.8

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