-0.10(106)+0.90x=0.05(x-8)

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Solution for -0.10(106)+0.90x=0.05(x-8) equation:


Simplifying
-0.10(106) + 0.90x = 0.05(x + -8)

Multiply -0.10 * 106
-10.6 + 0.90x = 0.05(x + -8)

Reorder the terms:
-10.6 + 0.90x = 0.05(-8 + x)
-10.6 + 0.90x = (-8 * 0.05 + x * 0.05)
-10.6 + 0.90x = (-0.4 + 0.05x)

Solving
-10.6 + 0.90x = -0.4 + 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.
-10.6 + 0.90x + -0.05x = -0.4 + 0.05x + -0.05x

Combine like terms: 0.90x + -0.05x = 0.85x
-10.6 + 0.85x = -0.4 + 0.05x + -0.05x

Combine like terms: 0.05x + -0.05x = 0.00
-10.6 + 0.85x = -0.4 + 0.00
-10.6 + 0.85x = -0.4

Add '10.6' to each side of the equation.
-10.6 + 10.6 + 0.85x = -0.4 + 10.6

Combine like terms: -10.6 + 10.6 = 0.0
0.0 + 0.85x = -0.4 + 10.6
0.85x = -0.4 + 10.6

Combine like terms: -0.4 + 10.6 = 10.2
0.85x = 10.2

Divide each side by '0.85'.
x = 12

Simplifying
x = 12

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