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

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


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

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

Combine like terms: 7 + 4 = 11
11 + -4x = x + 1

Reorder the terms:
11 + -4x = 1 + x

Solving
11 + -4x = 1 + x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.
11 + -4x + -1x = 1 + x + -1x

Combine like terms: -4x + -1x = -5x
11 + -5x = 1 + x + -1x

Combine like terms: x + -1x = 0
11 + -5x = 1 + 0
11 + -5x = 1

Add '-11' to each side of the equation.
11 + -11 + -5x = 1 + -11

Combine like terms: 11 + -11 = 0
0 + -5x = 1 + -11
-5x = 1 + -11

Combine like terms: 1 + -11 = -10
-5x = -10

Divide each side by '-5'.
x = 2

Simplifying
x = 2

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