-0.2(x-2)=-0.7(x-12)

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Solution for -0.2(x-2)=-0.7(x-12) equation: 


Simplifying
-0.2(x + -2) = -0.7(x + -12)

Reorder the terms:
-0.2(-2 + x) = -0.7(x + -12)
(-2 * -0.2 + x * -0.2) = -0.7(x + -12)
(0.4 + -0.2x) = -0.7(x + -12)

Reorder the terms:
0.4 + -0.2x = -0.7(-12 + x)
0.4 + -0.2x = (-12 * -0.7 + x * -0.7)
0.4 + -0.2x = (8.4 + -0.7x)

Solving
0.4 + -0.2x = 8.4 + -0.7x

Solving for variable 'x'.

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

Add '0.7x' to each side of the equation.
0.4 + -0.2x + 0.7x = 8.4 + -0.7x + 0.7x

Combine like terms: -0.2x + 0.7x = 0.5x
0.4 + 0.5x = 8.4 + -0.7x + 0.7x

Combine like terms: -0.7x + 0.7x = 0.0
0.4 + 0.5x = 8.4 + 0.0
0.4 + 0.5x = 8.4

Add '-0.4' to each side of the equation.
0.4 + -0.4 + 0.5x = 8.4 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + 0.5x = 8.4 + -0.4
0.5x = 8.4 + -0.4

Combine like terms: 8.4 + -0.4 = 8
0.5x = 8

Divide each side by '0.5'.
x = 16

Simplifying
x = 16

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