-1.4(x-1)=0.4(x+8)

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Solution for -1.4(x-1)=0.4(x+8) equation: 


Simplifying
-1.4(x + -1) = 0.4(x + 8)

Reorder the terms:
-1.4(-1 + x) = 0.4(x + 8)
(-1 * -1.4 + x * -1.4) = 0.4(x + 8)
(1.4 + -1.4x) = 0.4(x + 8)

Reorder the terms:
1.4 + -1.4x = 0.4(8 + x)
1.4 + -1.4x = (8 * 0.4 + x * 0.4)
1.4 + -1.4x = (3.2 + 0.4x)

Solving
1.4 + -1.4x = 3.2 + 0.4x

Solving for variable 'x'.

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

Add '-0.4x' to each side of the equation.
1.4 + -1.4x + -0.4x = 3.2 + 0.4x + -0.4x

Combine like terms: -1.4x + -0.4x = -1.8x
1.4 + -1.8x = 3.2 + 0.4x + -0.4x

Combine like terms: 0.4x + -0.4x = 0.0
1.4 + -1.8x = 3.2 + 0.0
1.4 + -1.8x = 3.2

Add '-1.4' to each side of the equation.
1.4 + -1.4 + -1.8x = 3.2 + -1.4

Combine like terms: 1.4 + -1.4 = 0.0
0.0 + -1.8x = 3.2 + -1.4
-1.8x = 3.2 + -1.4

Combine like terms: 3.2 + -1.4 = 1.8
-1.8x = 1.8

Divide each side by '-1.8'.
x = -1

Simplifying
x = -1

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