0.85x+0.05(14-x)=0.10(87)

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Solution for 0.85x+0.05(14-x)=0.10(87) equation: 


Simplifying
0.85x + 0.05(14 + -1x) = 0.10(87)
0.85x + (14 * 0.05 + -1x * 0.05) = 0.10(87)
0.85x + (0.7 + -0.05x) = 0.10(87)

Reorder the terms:
0.7 + 0.85x + -0.05x = 0.10(87)

Combine like terms: 0.85x + -0.05x = 0.8x
0.7 + 0.8x = 0.10(87)

Multiply 0.10 * 87
0.7 + 0.8x = 8.7

Solving
0.7 + 0.8x = 8.7

Solving for variable 'x'.

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

Add '-0.7' to each side of the equation.
0.7 + -0.7 + 0.8x = 8.7 + -0.7

Combine like terms: 0.7 + -0.7 = 0.0
0.0 + 0.8x = 8.7 + -0.7
0.8x = 8.7 + -0.7

Combine like terms: 8.7 + -0.7 = 8
0.8x = 8

Divide each side by '0.8'.
x = 10

Simplifying
x = 10

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