78=33-5(x-4)

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Solution for 78=33-5(x-4) equation:


Simplifying
78 = 33 + -5(x + -4)

Reorder the terms:
78 = 33 + -5(-4 + x)
78 = 33 + (-4 * -5 + x * -5)
78 = 33 + (20 + -5x)

Combine like terms: 33 + 20 = 53
78 = 53 + -5x

Solving
78 = 53 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
78 + 5x = 53 + -5x + 5x

Combine like terms: -5x + 5x = 0
78 + 5x = 53 + 0
78 + 5x = 53

Add '-78' to each side of the equation.
78 + -78 + 5x = 53 + -78

Combine like terms: 78 + -78 = 0
0 + 5x = 53 + -78
5x = 53 + -78

Combine like terms: 53 + -78 = -25
5x = -25

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

Simplifying
x = -5

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