10x-(x-5)=8*(x+1)

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Solution for 10x-(x-5)=8*(x+1) equation:


Simplifying
10x + -1(x + -5) = 8(x + 1)

Reorder the terms:
10x + -1(-5 + x) = 8(x + 1)
10x + (-5 * -1 + x * -1) = 8(x + 1)
10x + (5 + -1x) = 8(x + 1)

Reorder the terms:
5 + 10x + -1x = 8(x + 1)

Combine like terms: 10x + -1x = 9x
5 + 9x = 8(x + 1)

Reorder the terms:
5 + 9x = 8(1 + x)
5 + 9x = (1 * 8 + x * 8)
5 + 9x = (8 + 8x)

Solving
5 + 9x = 8 + 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 + 9x + -8x = 8 + 8x + -8x

Combine like terms: 9x + -8x = 1x
5 + 1x = 8 + 8x + -8x

Combine like terms: 8x + -8x = 0
5 + 1x = 8 + 0
5 + 1x = 8

Add '-5' to each side of the equation.
5 + -5 + 1x = 8 + -5

Combine like terms: 5 + -5 = 0
0 + 1x = 8 + -5
1x = 8 + -5

Combine like terms: 8 + -5 = 3
1x = 3

Divide each side by '1'.
x = 3

Simplifying
x = 3

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