7x+(3x-5)=(8x+5)

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Solution for 7x+(3x-5)=(8x+5) equation:


Simplifying
7x + (3x + -5) = (8x + 5)

Reorder the terms:
7x + (-5 + 3x) = (8x + 5)

Remove parenthesis around (-5 + 3x)
7x + -5 + 3x = (8x + 5)

Reorder the terms:
-5 + 7x + 3x = (8x + 5)

Combine like terms: 7x + 3x = 10x
-5 + 10x = (8x + 5)

Reorder the terms:
-5 + 10x = (5 + 8x)

Remove parenthesis around (5 + 8x)
-5 + 10x = 5 + 8x

Solving
-5 + 10x = 5 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-5 + 10x + -8x = 5 + 8x + -8x

Combine like terms: 10x + -8x = 2x
-5 + 2x = 5 + 8x + -8x

Combine like terms: 8x + -8x = 0
-5 + 2x = 5 + 0
-5 + 2x = 5

Add '5' to each side of the equation.
-5 + 5 + 2x = 5 + 5

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

Combine like terms: 5 + 5 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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