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

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


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

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

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

Solving
5 + -4x = 7 + 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.
5 + -4x + -1x = 7 + x + -1x

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

Combine like terms: x + -1x = 0
5 + -5x = 7 + 0
5 + -5x = 7

Add '-5' to each side of the equation.
5 + -5 + -5x = 7 + -5

Combine like terms: 5 + -5 = 0
0 + -5x = 7 + -5
-5x = 7 + -5

Combine like terms: 7 + -5 = 2
-5x = 2

Divide each side by '-5'.
x = -0.4

Simplifying
x = -0.4

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