3x+6-7(x+1)=4x+6

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Solution for 3x+6-7(x+1)=4x+6 equation:


Simplifying
3x + 6 + -7(x + 1) = 4x + 6

Reorder the terms:
3x + 6 + -7(1 + x) = 4x + 6
3x + 6 + (1 * -7 + x * -7) = 4x + 6
3x + 6 + (-7 + -7x) = 4x + 6

Reorder the terms:
6 + -7 + 3x + -7x = 4x + 6

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

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

Reorder the terms:
-1 + -4x = 6 + 4x

Solving
-1 + -4x = 6 + 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 + -4x + -4x = 6 + 4x + -4x

Combine like terms: -4x + -4x = -8x
-1 + -8x = 6 + 4x + -4x

Combine like terms: 4x + -4x = 0
-1 + -8x = 6 + 0
-1 + -8x = 6

Add '1' to each side of the equation.
-1 + 1 + -8x = 6 + 1

Combine like terms: -1 + 1 = 0
0 + -8x = 6 + 1
-8x = 6 + 1

Combine like terms: 6 + 1 = 7
-8x = 7

Divide each side by '-8'.
x = -0.875

Simplifying
x = -0.875

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