9(2x+5)-x=2x-4+5

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Solution for 9(2x+5)-x=2x-4+5 equation:


Simplifying
9(2x + 5) + -1x = 2x + -4 + 5

Reorder the terms:
9(5 + 2x) + -1x = 2x + -4 + 5
(5 * 9 + 2x * 9) + -1x = 2x + -4 + 5
(45 + 18x) + -1x = 2x + -4 + 5

Combine like terms: 18x + -1x = 17x
45 + 17x = 2x + -4 + 5

Reorder the terms:
45 + 17x = -4 + 5 + 2x

Combine like terms: -4 + 5 = 1
45 + 17x = 1 + 2x

Solving
45 + 17x = 1 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
45 + 17x + -2x = 1 + 2x + -2x

Combine like terms: 17x + -2x = 15x
45 + 15x = 1 + 2x + -2x

Combine like terms: 2x + -2x = 0
45 + 15x = 1 + 0
45 + 15x = 1

Add '-45' to each side of the equation.
45 + -45 + 15x = 1 + -45

Combine like terms: 45 + -45 = 0
0 + 15x = 1 + -45
15x = 1 + -45

Combine like terms: 1 + -45 = -44
15x = -44

Divide each side by '15'.
x = -2.933333333

Simplifying
x = -2.933333333

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