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

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


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

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

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

Reorder the terms:
6 + -1x = 3(3 + x)
6 + -1x = (3 * 3 + x * 3)
6 + -1x = (9 + 3x)

Solving
6 + -1x = 9 + 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.
6 + -1x + -3x = 9 + 3x + -3x

Combine like terms: -1x + -3x = -4x
6 + -4x = 9 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 + -4x = 9 + 0
6 + -4x = 9

Add '-6' to each side of the equation.
6 + -6 + -4x = 9 + -6

Combine like terms: 6 + -6 = 0
0 + -4x = 9 + -6
-4x = 9 + -6

Combine like terms: 9 + -6 = 3
-4x = 3

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

Simplifying
x = -0.75

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