8-1(x+1)=-0.2(4-x)

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Solution for 8-1(x+1)=-0.2(4-x) equation: 


Simplifying
8 + -1(x + 1) = -0.2(4 + -1x)

Reorder the terms:
8 + -1(1 + x) = -0.2(4 + -1x)
8 + (1 * -1 + x * -1) = -0.2(4 + -1x)
8 + (-1 + -1x) = -0.2(4 + -1x)

Combine like terms: 8 + -1 = 7
7 + -1x = -0.2(4 + -1x)
7 + -1x = (4 * -0.2 + -1x * -0.2)
7 + -1x = (-0.8 + 0.2x)

Solving
7 + -1x = -0.8 + 0.2x

Solving for variable 'x'.

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

Add '-0.2x' to each side of the equation.
7 + -1x + -0.2x = -0.8 + 0.2x + -0.2x

Combine like terms: -1x + -0.2x = -1.2x
7 + -1.2x = -0.8 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
7 + -1.2x = -0.8 + 0.0
7 + -1.2x = -0.8

Add '-7' to each side of the equation.
7 + -7 + -1.2x = -0.8 + -7

Combine like terms: 7 + -7 = 0
0 + -1.2x = -0.8 + -7
-1.2x = -0.8 + -7

Combine like terms: -0.8 + -7 = -7.8
-1.2x = -7.8

Divide each side by '-1.2'.
x = 6.5

Simplifying
x = 6.5

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