4(x-1)=3-(x-7x)+5

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Solution for 4(x-1)=3-(x-7x)+5 equation: 


Simplifying
4(x + -1) = 3 + -1(x + -7x) + 5

Reorder the terms:
4(-1 + x) = 3 + -1(x + -7x) + 5
(-1 * 4 + x * 4) = 3 + -1(x + -7x) + 5
(-4 + 4x) = 3 + -1(x + -7x) + 5

Combine like terms: x + -7x = -6x
-4 + 4x = 3 + -1(-6x) + 5

Remove parenthesis around (-6x)
-4 + 4x = 3 + -1 * -6x + 5

Multiply -1 * -6
-4 + 4x = 3 + 6x + 5

Reorder the terms:
-4 + 4x = 3 + 5 + 6x

Combine like terms: 3 + 5 = 8
-4 + 4x = 8 + 6x

Solving
-4 + 4x = 8 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-4 + 4x + -6x = 8 + 6x + -6x

Combine like terms: 4x + -6x = -2x
-4 + -2x = 8 + 6x + -6x

Combine like terms: 6x + -6x = 0
-4 + -2x = 8 + 0
-4 + -2x = 8

Add '4' to each side of the equation.
-4 + 4 + -2x = 8 + 4

Combine like terms: -4 + 4 = 0
0 + -2x = 8 + 4
-2x = 8 + 4

Combine like terms: 8 + 4 = 12
-2x = 12

Divide each side by '-2'.
x = -6

Simplifying
x = -6

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