(8x+4)7=(11x-5)7

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Solution for (8x+4)7=(11x-5)7 equation:


Simplifying
(8x + 4) * 7 = (11x + -5) * 7

Reorder the terms:
(4 + 8x) * 7 = (11x + -5) * 7

Reorder the terms for easier multiplication:
7(4 + 8x) = (11x + -5) * 7
(4 * 7 + 8x * 7) = (11x + -5) * 7
(28 + 56x) = (11x + -5) * 7

Reorder the terms:
28 + 56x = (-5 + 11x) * 7

Reorder the terms for easier multiplication:
28 + 56x = 7(-5 + 11x)
28 + 56x = (-5 * 7 + 11x * 7)
28 + 56x = (-35 + 77x)

Solving
28 + 56x = -35 + 77x

Solving for variable 'x'.

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

Add '-77x' to each side of the equation.
28 + 56x + -77x = -35 + 77x + -77x

Combine like terms: 56x + -77x = -21x
28 + -21x = -35 + 77x + -77x

Combine like terms: 77x + -77x = 0
28 + -21x = -35 + 0
28 + -21x = -35

Add '-28' to each side of the equation.
28 + -28 + -21x = -35 + -28

Combine like terms: 28 + -28 = 0
0 + -21x = -35 + -28
-21x = -35 + -28

Combine like terms: -35 + -28 = -63
-21x = -63

Divide each side by '-21'.
x = 3

Simplifying
x = 3

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