0.10(10)+0.15x=0.05(x-16)

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Solution for 0.10(10)+0.15x=0.05(x-16) equation:


Simplifying
0.10(10) + 0.15x = 0.05(x + -16)

Multiply 0.10 * 10
1 + 0.15x = 0.05(x + -16)

Reorder the terms:
1 + 0.15x = 0.05(-16 + x)
1 + 0.15x = (-16 * 0.05 + x * 0.05)
1 + 0.15x = (-0.8 + 0.05x)

Solving
1 + 0.15x = -0.8 + 0.05x

Solving for variable 'x'.

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

Add '-0.05x' to each side of the equation.
1 + 0.15x + -0.05x = -0.8 + 0.05x + -0.05x

Combine like terms: 0.15x + -0.05x = 0.1x
1 + 0.1x = -0.8 + 0.05x + -0.05x

Combine like terms: 0.05x + -0.05x = 0.00
1 + 0.1x = -0.8 + 0.00
1 + 0.1x = -0.8

Add '-1' to each side of the equation.
1 + -1 + 0.1x = -0.8 + -1

Combine like terms: 1 + -1 = 0
0 + 0.1x = -0.8 + -1
0.1x = -0.8 + -1

Combine like terms: -0.8 + -1 = -1.8
0.1x = -1.8

Divide each side by '0.1'.
x = -18

Simplifying
x = -18

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