0.1(x-4)+0.5=1-0.7(8-2x)-0.5

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Solution for 0.1(x-4)+0.5=1-0.7(8-2x)-0.5 equation: 


Simplifying
0.1(x + -4) + 0.5 = 1 + -0.7(8 + -2x) + -0.5

Reorder the terms:
0.1(-4 + x) + 0.5 = 1 + -0.7(8 + -2x) + -0.5
(-4 * 0.1 + x * 0.1) + 0.5 = 1 + -0.7(8 + -2x) + -0.5
(-0.4 + 0.1x) + 0.5 = 1 + -0.7(8 + -2x) + -0.5

Reorder the terms:
-0.4 + 0.5 + 0.1x = 1 + -0.7(8 + -2x) + -0.5

Combine like terms: -0.4 + 0.5 = 0.1
0.1 + 0.1x = 1 + -0.7(8 + -2x) + -0.5
0.1 + 0.1x = 1 + (8 * -0.7 + -2x * -0.7) + -0.5
0.1 + 0.1x = 1 + (-5.6 + 1.4x) + -0.5

Reorder the terms:
0.1 + 0.1x = 1 + -5.6 + -0.5 + 1.4x

Combine like terms: 1 + -5.6 = -4.6
0.1 + 0.1x = -4.6 + -0.5 + 1.4x

Combine like terms: -4.6 + -0.5 = -5.1
0.1 + 0.1x = -5.1 + 1.4x

Solving
0.1 + 0.1x = -5.1 + 1.4x

Solving for variable 'x'.

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

Add '-1.4x' to each side of the equation.
0.1 + 0.1x + -1.4x = -5.1 + 1.4x + -1.4x

Combine like terms: 0.1x + -1.4x = -1.3x
0.1 + -1.3x = -5.1 + 1.4x + -1.4x

Combine like terms: 1.4x + -1.4x = 0.0
0.1 + -1.3x = -5.1 + 0.0
0.1 + -1.3x = -5.1

Add '-0.1' to each side of the equation.
0.1 + -0.1 + -1.3x = -5.1 + -0.1

Combine like terms: 0.1 + -0.1 = 0.0
0.0 + -1.3x = -5.1 + -0.1
-1.3x = -5.1 + -0.1

Combine like terms: -5.1 + -0.1 = -5.2
-1.3x = -5.2

Divide each side by '-1.3'.
x = 4

Simplifying
x = 4

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