0.5(x+8)+1.4x=10

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Solution for 0.5(x+8)+1.4x=10 equation: 


Simplifying
0.5(x + 8) + 1.4x = 10

Reorder the terms:
0.5(8 + x) + 1.4x = 10
(8 * 0.5 + x * 0.5) + 1.4x = 10
(4 + 0.5x) + 1.4x = 10

Combine like terms: 0.5x + 1.4x = 1.9x
4 + 1.9x = 10

Solving
4 + 1.9x = 10

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + 1.9x = 10 + -4

Combine like terms: 4 + -4 = 0
0 + 1.9x = 10 + -4
1.9x = 10 + -4

Combine like terms: 10 + -4 = 6
1.9x = 6

Divide each side by '1.9'.
x = 3.157894737

Simplifying
x = 3.157894737

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