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

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


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

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

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

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

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

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

Solving
4 + -3x = -3 + -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.
4 + -3x + 2x = -3 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
4 + -1x = -3 + 0
4 + -1x = -3

Add '-4' to each side of the equation.
4 + -4 + -1x = -3 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = -3 + -4
-1x = -3 + -4

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

Divide each side by '-1'.
x = 7

Simplifying
x = 7

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