0.2x-0.5(9-2x)=-0.1(x-7)

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Solution for 0.2x-0.5(9-2x)=-0.1(x-7) equation: 


Simplifying
0.2x + -0.5(9 + -2x) = -0.1(x + -7)
0.2x + (9 * -0.5 + -2x * -0.5) = -0.1(x + -7)
0.2x + (-4.5 + 1x) = -0.1(x + -7)

Reorder the terms:
-4.5 + 0.2x + 1x = -0.1(x + -7)

Combine like terms: 0.2x + 1x = 1.2x
-4.5 + 1.2x = -0.1(x + -7)

Reorder the terms:
-4.5 + 1.2x = -0.1(-7 + x)
-4.5 + 1.2x = (-7 * -0.1 + x * -0.1)
-4.5 + 1.2x = (0.7 + -0.1x)

Solving
-4.5 + 1.2x = 0.7 + -0.1x

Solving for variable 'x'.

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

Add '0.1x' to each side of the equation.
-4.5 + 1.2x + 0.1x = 0.7 + -0.1x + 0.1x

Combine like terms: 1.2x + 0.1x = 1.3x
-4.5 + 1.3x = 0.7 + -0.1x + 0.1x

Combine like terms: -0.1x + 0.1x = 0.0
-4.5 + 1.3x = 0.7 + 0.0
-4.5 + 1.3x = 0.7

Add '4.5' to each side of the equation.
-4.5 + 4.5 + 1.3x = 0.7 + 4.5

Combine like terms: -4.5 + 4.5 = 0.0
0.0 + 1.3x = 0.7 + 4.5
1.3x = 0.7 + 4.5

Combine like terms: 0.7 + 4.5 = 5.2
1.3x = 5.2

Divide each side by '1.3'.
x = 4

Simplifying
x = 4

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