76=5x-3(4x-9)

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Solution for 76=5x-3(4x-9) equation:


Simplifying
76 = 5x + -3(4x + -9)

Reorder the terms:
76 = 5x + -3(-9 + 4x)
76 = 5x + (-9 * -3 + 4x * -3)
76 = 5x + (27 + -12x)

Reorder the terms:
76 = 27 + 5x + -12x

Combine like terms: 5x + -12x = -7x
76 = 27 + -7x

Solving
76 = 27 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
76 + 7x = 27 + -7x + 7x

Combine like terms: -7x + 7x = 0
76 + 7x = 27 + 0
76 + 7x = 27

Add '-76' to each side of the equation.
76 + -76 + 7x = 27 + -76

Combine like terms: 76 + -76 = 0
0 + 7x = 27 + -76
7x = 27 + -76

Combine like terms: 27 + -76 = -49
7x = -49

Divide each side by '7'.
x = -7

Simplifying
x = -7

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