.5(x+4)+.16(x+6)=x+5

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Solution for .5(x+4)+.16(x+6)=x+5 equation: 


Simplifying
0.5(x + 4) + 0.16(x + 6) = x + 5

Reorder the terms:
0.5(4 + x) + 0.16(x + 6) = x + 5
(4 * 0.5 + x * 0.5) + 0.16(x + 6) = x + 5
(2 + 0.5x) + 0.16(x + 6) = x + 5

Reorder the terms:
2 + 0.5x + 0.16(6 + x) = x + 5
2 + 0.5x + (6 * 0.16 + x * 0.16) = x + 5
2 + 0.5x + (0.96 + 0.16x) = x + 5

Reorder the terms:
2 + 0.96 + 0.5x + 0.16x = x + 5

Combine like terms: 2 + 0.96 = 2.96
2.96 + 0.5x + 0.16x = x + 5

Combine like terms: 0.5x + 0.16x = 0.66x
2.96 + 0.66x = x + 5

Reorder the terms:
2.96 + 0.66x = 5 + x

Solving
2.96 + 0.66x = 5 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
2.96 + 0.66x + -1x = 5 + x + -1x

Combine like terms: 0.66x + -1x = -0.34x
2.96 + -0.34x = 5 + x + -1x

Combine like terms: x + -1x = 0
2.96 + -0.34x = 5 + 0
2.96 + -0.34x = 5

Add '-2.96' to each side of the equation.
2.96 + -2.96 + -0.34x = 5 + -2.96

Combine like terms: 2.96 + -2.96 = 0.00
0.00 + -0.34x = 5 + -2.96
-0.34x = 5 + -2.96

Combine like terms: 5 + -2.96 = 2.04
-0.34x = 2.04

Divide each side by '-0.34'.
x = -6

Simplifying
x = -6

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