-.2(x-5)=x-9

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


Simplifying
-0.2(x + -5) = x + -9

Reorder the terms:
-0.2(-5 + x) = x + -9
(-5 * -0.2 + x * -0.2) = x + -9
(1 + -0.2x) = x + -9

Reorder the terms:
1 + -0.2x = -9 + x

Solving
1 + -0.2x = -9 + 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.
1 + -0.2x + -1x = -9 + x + -1x

Combine like terms: -0.2x + -1x = -1.2x
1 + -1.2x = -9 + x + -1x

Combine like terms: x + -1x = 0
1 + -1.2x = -9 + 0
1 + -1.2x = -9

Add '-1' to each side of the equation.
1 + -1 + -1.2x = -9 + -1

Combine like terms: 1 + -1 = 0
0 + -1.2x = -9 + -1
-1.2x = -9 + -1

Combine like terms: -9 + -1 = -10
-1.2x = -10

Divide each side by '-1.2'.
x = 8.333333333

Simplifying
x = 8.333333333

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