7x+(8x-8)=10x+5

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Solution for 7x+(8x-8)=10x+5 equation:


Simplifying
7x + (8x + -8) = 10x + 5

Reorder the terms:
7x + (-8 + 8x) = 10x + 5

Remove parenthesis around (-8 + 8x)
7x + -8 + 8x = 10x + 5

Reorder the terms:
-8 + 7x + 8x = 10x + 5

Combine like terms: 7x + 8x = 15x
-8 + 15x = 10x + 5

Reorder the terms:
-8 + 15x = 5 + 10x

Solving
-8 + 15x = 5 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-8 + 15x + -10x = 5 + 10x + -10x

Combine like terms: 15x + -10x = 5x
-8 + 5x = 5 + 10x + -10x

Combine like terms: 10x + -10x = 0
-8 + 5x = 5 + 0
-8 + 5x = 5

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

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

Combine like terms: 5 + 8 = 13
5x = 13

Divide each side by '5'.
x = 2.6

Simplifying
x = 2.6

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