x(.7)+14(.10)=(14+x).5

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Solution for x(.7)+14(.10)=(14+x).5 equation: 


Simplifying
x(0.7) + 14(0.10) = (14 + x) * 0.5

Reorder the terms for easier multiplication:
0.7x + 14(0.10) = (14 + x) * 0.5

Multiply 14 * 0.10
0.7x + 1.4 = (14 + x) * 0.5

Reorder the terms:
1.4 + 0.7x = (14 + x) * 0.5

Reorder the terms for easier multiplication:
1.4 + 0.7x = 0.5(14 + x)
1.4 + 0.7x = (14 * 0.5 + x * 0.5)
1.4 + 0.7x = (7 + 0.5x)

Solving
1.4 + 0.7x = 7 + 0.5x

Solving for variable 'x'.

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

Add '-0.5x' to each side of the equation.
1.4 + 0.7x + -0.5x = 7 + 0.5x + -0.5x

Combine like terms: 0.7x + -0.5x = 0.2x
1.4 + 0.2x = 7 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
1.4 + 0.2x = 7 + 0.0
1.4 + 0.2x = 7

Add '-1.4' to each side of the equation.
1.4 + -1.4 + 0.2x = 7 + -1.4

Combine like terms: 1.4 + -1.4 = 0.0
0.0 + 0.2x = 7 + -1.4
0.2x = 7 + -1.4

Combine like terms: 7 + -1.4 = 5.6
0.2x = 5.6

Divide each side by '0.2'.
x = 28

Simplifying
x = 28

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