7(x+4)=5x+53

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Solution for 7(x+4)=5x+53 equation:


Simplifying
7(x + 4) = 5x + 53

Reorder the terms:
7(4 + x) = 5x + 53
(4 * 7 + x * 7) = 5x + 53
(28 + 7x) = 5x + 53

Reorder the terms:
28 + 7x = 53 + 5x

Solving
28 + 7x = 53 + 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 = 53 + 5x + -5x

Combine like terms: 7x + -5x = 2x
28 + 2x = 53 + 5x + -5x

Combine like terms: 5x + -5x = 0
28 + 2x = 53 + 0
28 + 2x = 53

Add '-28' to each side of the equation.
28 + -28 + 2x = 53 + -28

Combine like terms: 28 + -28 = 0
0 + 2x = 53 + -28
2x = 53 + -28

Combine like terms: 53 + -28 = 25
2x = 25

Divide each side by '2'.
x = 12.5

Simplifying
x = 12.5

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