5x+64=7x-28

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Solution for 5x+64=7x-28 equation:


Simplifying
5x + 64 = 7x + -28

Reorder the terms:
64 + 5x = 7x + -28

Reorder the terms:
64 + 5x = -28 + 7x

Solving
64 + 5x = -28 + 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.
64 + 5x + -7x = -28 + 7x + -7x

Combine like terms: 5x + -7x = -2x
64 + -2x = -28 + 7x + -7x

Combine like terms: 7x + -7x = 0
64 + -2x = -28 + 0
64 + -2x = -28

Add '-64' to each side of the equation.
64 + -64 + -2x = -28 + -64

Combine like terms: 64 + -64 = 0
0 + -2x = -28 + -64
-2x = -28 + -64

Combine like terms: -28 + -64 = -92
-2x = -92

Divide each side by '-2'.
x = 46

Simplifying
x = 46

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