.1(x-6)+.5=1-.4(12-2x)-.5

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Solution for .1(x-6)+.5=1-.4(12-2x)-.5 equation:


Simplifying
0.1(x + -6) + 0.5 = 1 + -0.4(12 + -2x) + -0.5

Reorder the terms:
0.1(-6 + x) + 0.5 = 1 + -0.4(12 + -2x) + -0.5
(-6 * 0.1 + x * 0.1) + 0.5 = 1 + -0.4(12 + -2x) + -0.5
(-0.6 + 0.1x) + 0.5 = 1 + -0.4(12 + -2x) + -0.5

Reorder the terms:
-0.6 + 0.5 + 0.1x = 1 + -0.4(12 + -2x) + -0.5

Combine like terms: -0.6 + 0.5 = -0.1
-0.1 + 0.1x = 1 + -0.4(12 + -2x) + -0.5
-0.1 + 0.1x = 1 + (12 * -0.4 + -2x * -0.4) + -0.5
-0.1 + 0.1x = 1 + (-4.8 + 0.8x) + -0.5

Reorder the terms:
-0.1 + 0.1x = 1 + -4.8 + -0.5 + 0.8x

Combine like terms: 1 + -4.8 = -3.8
-0.1 + 0.1x = -3.8 + -0.5 + 0.8x

Combine like terms: -3.8 + -0.5 = -4.3
-0.1 + 0.1x = -4.3 + 0.8x

Solving
-0.1 + 0.1x = -4.3 + 0.8x

Solving for variable 'x'.

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

Add '-0.8x' to each side of the equation.
-0.1 + 0.1x + -0.8x = -4.3 + 0.8x + -0.8x

Combine like terms: 0.1x + -0.8x = -0.7x
-0.1 + -0.7x = -4.3 + 0.8x + -0.8x

Combine like terms: 0.8x + -0.8x = 0.0
-0.1 + -0.7x = -4.3 + 0.0
-0.1 + -0.7x = -4.3

Add '0.1' to each side of the equation.
-0.1 + 0.1 + -0.7x = -4.3 + 0.1

Combine like terms: -0.1 + 0.1 = 0.0
0.0 + -0.7x = -4.3 + 0.1
-0.7x = -4.3 + 0.1

Combine like terms: -4.3 + 0.1 = -4.2
-0.7x = -4.2

Divide each side by '-0.7'.
x = 6

Simplifying
x = 6

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