0.90x+0.05(14-x)=0.10(-78)

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Solution for 0.90x+0.05(14-x)=0.10(-78) equation: 


Simplifying
0.90x + 0.05(14 + -1x) = 0.10(-78)
0.90x + (14 * 0.05 + -1x * 0.05) = 0.10(-78)
0.90x + (0.7 + -0.05x) = 0.10(-78)

Reorder the terms:
0.7 + 0.90x + -0.05x = 0.10(-78)

Combine like terms: 0.90x + -0.05x = 0.85x
0.7 + 0.85x = 0.10(-78)

Multiply 0.10 * -78
0.7 + 0.85x = -7.8

Solving
0.7 + 0.85x = -7.8

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 + 0.85x = -7.8 + -0.7

Combine like terms: 0.7 + -0.7 = 0.0
0.0 + 0.85x = -7.8 + -0.7
0.85x = -7.8 + -0.7

Combine like terms: -7.8 + -0.7 = -8.5
0.85x = -8.5

Divide each side by '0.85'.
x = -10

Simplifying
x = -10

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