0.4x+.05(4-x)=.10(-47)

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Solution for 0.4x+.05(4-x)=.10(-47) equation:


Simplifying
0.4x + 0.05(4 + -1x) = 0.10(-47)
0.4x + (4 * 0.05 + -1x * 0.05) = 0.10(-47)
0.4x + (0.2 + -0.05x) = 0.10(-47)

Reorder the terms:
0.2 + 0.4x + -0.05x = 0.10(-47)

Combine like terms: 0.4x + -0.05x = 0.35x
0.2 + 0.35x = 0.10(-47)

Multiply 0.10 * -47
0.2 + 0.35x = -4.7

Solving
0.2 + 0.35x = -4.7

Solving for variable 'x'.

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

Add '-0.2' to each side of the equation.
0.2 + -0.2 + 0.35x = -4.7 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + 0.35x = -4.7 + -0.2
0.35x = -4.7 + -0.2

Combine like terms: -4.7 + -0.2 = -4.9
0.35x = -4.9

Divide each side by '0.35'.
x = -14

Simplifying
x = -14

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