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

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


Simplifying
3(3 + -7x) = -1(7x + -5) + -66
(3 * 3 + -7x * 3) = -1(7x + -5) + -66
(9 + -21x) = -1(7x + -5) + -66

Reorder the terms:
9 + -21x = -1(-5 + 7x) + -66
9 + -21x = (-5 * -1 + 7x * -1) + -66
9 + -21x = (5 + -7x) + -66

Reorder the terms:
9 + -21x = 5 + -66 + -7x

Combine like terms: 5 + -66 = -61
9 + -21x = -61 + -7x

Solving
9 + -21x = -61 + -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.
9 + -21x + 7x = -61 + -7x + 7x

Combine like terms: -21x + 7x = -14x
9 + -14x = -61 + -7x + 7x

Combine like terms: -7x + 7x = 0
9 + -14x = -61 + 0
9 + -14x = -61

Add '-9' to each side of the equation.
9 + -9 + -14x = -61 + -9

Combine like terms: 9 + -9 = 0
0 + -14x = -61 + -9
-14x = -61 + -9

Combine like terms: -61 + -9 = -70
-14x = -70

Divide each side by '-14'.
x = 5

Simplifying
x = 5

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