7x+5=6(x+9)-8

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Solution for 7x+5=6(x+9)-8 equation:


Simplifying
7x + 5 = 6(x + 9) + -8

Reorder the terms:
5 + 7x = 6(x + 9) + -8

Reorder the terms:
5 + 7x = 6(9 + x) + -8
5 + 7x = (9 * 6 + x * 6) + -8
5 + 7x = (54 + 6x) + -8

Reorder the terms:
5 + 7x = 54 + -8 + 6x

Combine like terms: 54 + -8 = 46
5 + 7x = 46 + 6x

Solving
5 + 7x = 46 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
5 + 7x + -6x = 46 + 6x + -6x

Combine like terms: 7x + -6x = 1x
5 + 1x = 46 + 6x + -6x

Combine like terms: 6x + -6x = 0
5 + 1x = 46 + 0
5 + 1x = 46

Add '-5' to each side of the equation.
5 + -5 + 1x = 46 + -5

Combine like terms: 5 + -5 = 0
0 + 1x = 46 + -5
1x = 46 + -5

Combine like terms: 46 + -5 = 41
1x = 41

Divide each side by '1'.
x = 41

Simplifying
x = 41

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