5*9+10x=5(x+2*9-1)

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Solution for 5*9+10x=5(x+2*9-1) equation: 


Simplifying
5 * 9 + 10x = 5(x + 2 * 9 + -1)

Multiply 5 * 9
45 + 10x = 5(x + 2 * 9 + -1)

Multiply 2 * 9
45 + 10x = 5(x + 18 + -1)

Reorder the terms:
45 + 10x = 5(18 + -1 + x)

Combine like terms: 18 + -1 = 17
45 + 10x = 5(17 + x)
45 + 10x = (17 * 5 + x * 5)
45 + 10x = (85 + 5x)

Solving
45 + 10x = 85 + 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.
45 + 10x + -5x = 85 + 5x + -5x

Combine like terms: 10x + -5x = 5x
45 + 5x = 85 + 5x + -5x

Combine like terms: 5x + -5x = 0
45 + 5x = 85 + 0
45 + 5x = 85

Add '-45' to each side of the equation.
45 + -45 + 5x = 85 + -45

Combine like terms: 45 + -45 = 0
0 + 5x = 85 + -45
5x = 85 + -45

Combine like terms: 85 + -45 = 40
5x = 40

Divide each side by '5'.
x = 8

Simplifying
x = 8

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