-0.3(x-6)=-1.9(x-14)

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Solution for -0.3(x-6)=-1.9(x-14) equation: 


Simplifying
-0.3(x + -6) = -1.9(x + -14)

Reorder the terms:
-0.3(-6 + x) = -1.9(x + -14)
(-6 * -0.3 + x * -0.3) = -1.9(x + -14)
(1.8 + -0.3x) = -1.9(x + -14)

Reorder the terms:
1.8 + -0.3x = -1.9(-14 + x)
1.8 + -0.3x = (-14 * -1.9 + x * -1.9)
1.8 + -0.3x = (26.6 + -1.9x)

Solving
1.8 + -0.3x = 26.6 + -1.9x

Solving for variable 'x'.

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

Add '1.9x' to each side of the equation.
1.8 + -0.3x + 1.9x = 26.6 + -1.9x + 1.9x

Combine like terms: -0.3x + 1.9x = 1.6x
1.8 + 1.6x = 26.6 + -1.9x + 1.9x

Combine like terms: -1.9x + 1.9x = 0.0
1.8 + 1.6x = 26.6 + 0.0
1.8 + 1.6x = 26.6

Add '-1.8' to each side of the equation.
1.8 + -1.8 + 1.6x = 26.6 + -1.8

Combine like terms: 1.8 + -1.8 = 0.0
0.0 + 1.6x = 26.6 + -1.8
1.6x = 26.6 + -1.8

Combine like terms: 26.6 + -1.8 = 24.8
1.6x = 24.8

Divide each side by '1.6'.
x = 15.5

Simplifying
x = 15.5

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