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

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


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

Reorder the terms:
9(-2 + x) + -1(x + 1) = 5 + -2(x + -10)
(-2 * 9 + x * 9) + -1(x + 1) = 5 + -2(x + -10)
(-18 + 9x) + -1(x + 1) = 5 + -2(x + -10)

Reorder the terms:
-18 + 9x + -1(1 + x) = 5 + -2(x + -10)
-18 + 9x + (1 * -1 + x * -1) = 5 + -2(x + -10)
-18 + 9x + (-1 + -1x) = 5 + -2(x + -10)

Reorder the terms:
-18 + -1 + 9x + -1x = 5 + -2(x + -10)

Combine like terms: -18 + -1 = -19
-19 + 9x + -1x = 5 + -2(x + -10)

Combine like terms: 9x + -1x = 8x
-19 + 8x = 5 + -2(x + -10)

Reorder the terms:
-19 + 8x = 5 + -2(-10 + x)
-19 + 8x = 5 + (-10 * -2 + x * -2)
-19 + 8x = 5 + (20 + -2x)

Combine like terms: 5 + 20 = 25
-19 + 8x = 25 + -2x

Solving
-19 + 8x = 25 + -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.
-19 + 8x + 2x = 25 + -2x + 2x

Combine like terms: 8x + 2x = 10x
-19 + 10x = 25 + -2x + 2x

Combine like terms: -2x + 2x = 0
-19 + 10x = 25 + 0
-19 + 10x = 25

Add '19' to each side of the equation.
-19 + 19 + 10x = 25 + 19

Combine like terms: -19 + 19 = 0
0 + 10x = 25 + 19
10x = 25 + 19

Combine like terms: 25 + 19 = 44
10x = 44

Divide each side by '10'.
x = 4.4

Simplifying
x = 4.4

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