.75x+.05(10-x)=.10(-37)

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Solution for .75x+.05(10-x)=.10(-37) equation:


Simplifying
0.75x + 0.05(10 + -1x) = 0.10(-37)
0.75x + (10 * 0.05 + -1x * 0.05) = 0.10(-37)
0.75x + (0.5 + -0.05x) = 0.10(-37)

Reorder the terms:
0.5 + 0.75x + -0.05x = 0.10(-37)

Combine like terms: 0.75x + -0.05x = 0.7x
0.5 + 0.7x = 0.10(-37)

Multiply 0.10 * -37
0.5 + 0.7x = -3.7

Solving
0.5 + 0.7x = -3.7

Solving for variable 'x'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + 0.7x = -3.7 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + 0.7x = -3.7 + -0.5
0.7x = -3.7 + -0.5

Combine like terms: -3.7 + -0.5 = -4.2
0.7x = -4.2

Divide each side by '0.7'.
x = -6

Simplifying
x = -6

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