66=-4(1-3x)-7(x-5)

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Solution for 66=-4(1-3x)-7(x-5) equation: 


Simplifying
66 = -4(1 + -3x) + -7(x + -5)
66 = (1 * -4 + -3x * -4) + -7(x + -5)
66 = (-4 + 12x) + -7(x + -5)

Reorder the terms:
66 = -4 + 12x + -7(-5 + x)
66 = -4 + 12x + (-5 * -7 + x * -7)
66 = -4 + 12x + (35 + -7x)

Reorder the terms:
66 = -4 + 35 + 12x + -7x

Combine like terms: -4 + 35 = 31
66 = 31 + 12x + -7x

Combine like terms: 12x + -7x = 5x
66 = 31 + 5x

Solving
66 = 31 + 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.
66 + -5x = 31 + 5x + -5x

Combine like terms: 5x + -5x = 0
66 + -5x = 31 + 0
66 + -5x = 31

Add '-66' to each side of the equation.
66 + -66 + -5x = 31 + -66

Combine like terms: 66 + -66 = 0
0 + -5x = 31 + -66
-5x = 31 + -66

Combine like terms: 31 + -66 = -35
-5x = -35

Divide each side by '-5'.
x = 7

Simplifying
x = 7

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