-1.4(x-8)+12=.6(x-2)+1

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Solution for -1.4(x-8)+12=.6(x-2)+1 equation: 


Simplifying
-1.4(x + -8) + 12 = 0.6(x + -2) + 1

Reorder the terms:
-1.4(-8 + x) + 12 = 0.6(x + -2) + 1
(-8 * -1.4 + x * -1.4) + 12 = 0.6(x + -2) + 1
(11.2 + -1.4x) + 12 = 0.6(x + -2) + 1

Reorder the terms:
11.2 + 12 + -1.4x = 0.6(x + -2) + 1

Combine like terms: 11.2 + 12 = 23.2
23.2 + -1.4x = 0.6(x + -2) + 1

Reorder the terms:
23.2 + -1.4x = 0.6(-2 + x) + 1
23.2 + -1.4x = (-2 * 0.6 + x * 0.6) + 1
23.2 + -1.4x = (-1.2 + 0.6x) + 1

Reorder the terms:
23.2 + -1.4x = -1.2 + 1 + 0.6x

Combine like terms: -1.2 + 1 = -0.2
23.2 + -1.4x = -0.2 + 0.6x

Solving
23.2 + -1.4x = -0.2 + 0.6x

Solving for variable 'x'.

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

Add '-0.6x' to each side of the equation.
23.2 + -1.4x + -0.6x = -0.2 + 0.6x + -0.6x

Combine like terms: -1.4x + -0.6x = -2x
23.2 + -2x = -0.2 + 0.6x + -0.6x

Combine like terms: 0.6x + -0.6x = 0.0
23.2 + -2x = -0.2 + 0.0
23.2 + -2x = -0.2

Add '-23.2' to each side of the equation.
23.2 + -23.2 + -2x = -0.2 + -23.2

Combine like terms: 23.2 + -23.2 = 0.0
0.0 + -2x = -0.2 + -23.2
-2x = -0.2 + -23.2

Combine like terms: -0.2 + -23.2 = -23.4
-2x = -23.4

Divide each side by '-2'.
x = 11.7

Simplifying
x = 11.7

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