3x+5-(x+1)=6x+7

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Solution for 3x+5-(x+1)=6x+7 equation:


Simplifying
3x + 5 + -1(x + 1) = 6x + 7

Reorder the terms:
3x + 5 + -1(1 + x) = 6x + 7
3x + 5 + (1 * -1 + x * -1) = 6x + 7
3x + 5 + (-1 + -1x) = 6x + 7

Reorder the terms:
5 + -1 + 3x + -1x = 6x + 7

Combine like terms: 5 + -1 = 4
4 + 3x + -1x = 6x + 7

Combine like terms: 3x + -1x = 2x
4 + 2x = 6x + 7

Reorder the terms:
4 + 2x = 7 + 6x

Solving
4 + 2x = 7 + 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.
4 + 2x + -6x = 7 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
4 + -4x = 7 + 0
4 + -4x = 7

Add '-4' to each side of the equation.
4 + -4 + -4x = 7 + -4

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

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

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

Simplifying
x = -0.75

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