7x-28=5x+64

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


Simplifying
7x + -28 = 5x + 64

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

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

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

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

Combine like terms: 5x + -5x = 0
-28 + 2x = 64 + 0
-28 + 2x = 64

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

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

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

Divide each side by '2'.
x = 46

Simplifying
x = 46

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