53=32-3(x-2)

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Solution for 53=32-3(x-2) equation:


Simplifying
53 = 32 + -3(x + -2)

Reorder the terms:
53 = 32 + -3(-2 + x)
53 = 32 + (-2 * -3 + x * -3)
53 = 32 + (6 + -3x)

Combine like terms: 32 + 6 = 38
53 = 38 + -3x

Solving
53 = 38 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
53 + 3x = 38 + -3x + 3x

Combine like terms: -3x + 3x = 0
53 + 3x = 38 + 0
53 + 3x = 38

Add '-53' to each side of the equation.
53 + -53 + 3x = 38 + -53

Combine like terms: 53 + -53 = 0
0 + 3x = 38 + -53
3x = 38 + -53

Combine like terms: 38 + -53 = -15
3x = -15

Divide each side by '3'.
x = -5

Simplifying
x = -5

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