-(7x-77)=-3(5x-3)+4x

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Solution for -(7x-77)=-3(5x-3)+4x equation:


Simplifying
-1(7x + -77) = -3(5x + -3) + 4x

Reorder the terms:
-1(-77 + 7x) = -3(5x + -3) + 4x
(-77 * -1 + 7x * -1) = -3(5x + -3) + 4x
(77 + -7x) = -3(5x + -3) + 4x

Reorder the terms:
77 + -7x = -3(-3 + 5x) + 4x
77 + -7x = (-3 * -3 + 5x * -3) + 4x
77 + -7x = (9 + -15x) + 4x

Combine like terms: -15x + 4x = -11x
77 + -7x = 9 + -11x

Solving
77 + -7x = 9 + -11x

Solving for variable 'x'.

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

Add '11x' to each side of the equation.
77 + -7x + 11x = 9 + -11x + 11x

Combine like terms: -7x + 11x = 4x
77 + 4x = 9 + -11x + 11x

Combine like terms: -11x + 11x = 0
77 + 4x = 9 + 0
77 + 4x = 9

Add '-77' to each side of the equation.
77 + -77 + 4x = 9 + -77

Combine like terms: 77 + -77 = 0
0 + 4x = 9 + -77
4x = 9 + -77

Combine like terms: 9 + -77 = -68
4x = -68

Divide each side by '4'.
x = -17

Simplifying
x = -17

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