52=32-4(x-3)

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Solution for 52=32-4(x-3) equation:


Simplifying
52 = 32 + -4(x + -3)

Reorder the terms:
52 = 32 + -4(-3 + x)
52 = 32 + (-3 * -4 + x * -4)
52 = 32 + (12 + -4x)

Combine like terms: 32 + 12 = 44
52 = 44 + -4x

Solving
52 = 44 + -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.
52 + 4x = 44 + -4x + 4x

Combine like terms: -4x + 4x = 0
52 + 4x = 44 + 0
52 + 4x = 44

Add '-52' to each side of the equation.
52 + -52 + 4x = 44 + -52

Combine like terms: 52 + -52 = 0
0 + 4x = 44 + -52
4x = 44 + -52

Combine like terms: 44 + -52 = -8
4x = -8

Divide each side by '4'.
x = -2

Simplifying
x = -2

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