4(x-1)+52=-4x

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Solution for 4(x-1)+52=-4x equation:


Simplifying
4(x + -1) + 52 = -4x

Reorder the terms:
4(-1 + x) + 52 = -4x
(-1 * 4 + x * 4) + 52 = -4x
(-4 + 4x) + 52 = -4x

Reorder the terms:
-4 + 52 + 4x = -4x

Combine like terms: -4 + 52 = 48
48 + 4x = -4x

Solving
48 + 4x = -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
48 + 4x + 4x = -4x + 4x

Combine like terms: 4x + 4x = 8x
48 + 8x = -4x + 4x

Combine like terms: -4x + 4x = 0
48 + 8x = 0

Add '-48' to each side of the equation.
48 + -48 + 8x = 0 + -48

Combine like terms: 48 + -48 = 0
0 + 8x = 0 + -48
8x = 0 + -48

Combine like terms: 0 + -48 = -48
8x = -48

Divide each side by '8'.
x = -6

Simplifying
x = -6

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