0.75x+.05(8-x)=.10(32)

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Solution for 0.75x+.05(8-x)=.10(32) equation:


Simplifying
0.75x + 0.05(8 + -1x) = 0.10(32)
0.75x + (8 * 0.05 + -1x * 0.05) = 0.10(32)
0.75x + (0.4 + -0.05x) = 0.10(32)

Reorder the terms:
0.4 + 0.75x + -0.05x = 0.10(32)

Combine like terms: 0.75x + -0.05x = 0.7x
0.4 + 0.7x = 0.10(32)

Multiply 0.10 * 32
0.4 + 0.7x = 3.2

Solving
0.4 + 0.7x = 3.2

Solving for variable 'x'.

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

Add '-0.4' to each side of the equation.
0.4 + -0.4 + 0.7x = 3.2 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + 0.7x = 3.2 + -0.4
0.7x = 3.2 + -0.4

Combine like terms: 3.2 + -0.4 = 2.8
0.7x = 2.8

Divide each side by '0.7'.
x = 4

Simplifying
x = 4

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