-9(x-5)=x+22(.5)

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Solution for -9(x-5)=x+22(.5) equation:


Simplifying
-9(x + -5) = x + 22(0.5)

Reorder the terms:
-9(-5 + x) = x + 22(0.5)
(-5 * -9 + x * -9) = x + 22(0.5)
(45 + -9x) = x + 22(0.5)

Multiply 22 * 0.5
45 + -9x = x + 11

Reorder the terms:
45 + -9x = 11 + x

Solving
45 + -9x = 11 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
45 + -9x + -1x = 11 + x + -1x

Combine like terms: -9x + -1x = -10x
45 + -10x = 11 + x + -1x

Combine like terms: x + -1x = 0
45 + -10x = 11 + 0
45 + -10x = 11

Add '-45' to each side of the equation.
45 + -45 + -10x = 11 + -45

Combine like terms: 45 + -45 = 0
0 + -10x = 11 + -45
-10x = 11 + -45

Combine like terms: 11 + -45 = -34
-10x = -34

Divide each side by '-10'.
x = 3.4

Simplifying
x = 3.4

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