1.25(x+6)=0.166(x+8)

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Solution for 1.25(x+6)=0.166(x+8) equation:


Simplifying
1.25(x + 6) = 0.166(x + 8)

Reorder the terms:
1.25(6 + x) = 0.166(x + 8)
(6 * 1.25 + x * 1.25) = 0.166(x + 8)
(7.5 + 1.25x) = 0.166(x + 8)

Reorder the terms:
7.5 + 1.25x = 0.166(8 + x)
7.5 + 1.25x = (8 * 0.166 + x * 0.166)
7.5 + 1.25x = (1.328 + 0.166x)

Solving
7.5 + 1.25x = 1.328 + 0.166x

Solving for variable 'x'.

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

Add '-0.166x' to each side of the equation.
7.5 + 1.25x + -0.166x = 1.328 + 0.166x + -0.166x

Combine like terms: 1.25x + -0.166x = 1.084x
7.5 + 1.084x = 1.328 + 0.166x + -0.166x

Combine like terms: 0.166x + -0.166x = 0.000
7.5 + 1.084x = 1.328 + 0.000
7.5 + 1.084x = 1.328

Add '-7.5' to each side of the equation.
7.5 + -7.5 + 1.084x = 1.328 + -7.5

Combine like terms: 7.5 + -7.5 = 0.0
0.0 + 1.084x = 1.328 + -7.5
1.084x = 1.328 + -7.5

Combine like terms: 1.328 + -7.5 = -6.172
1.084x = -6.172

Divide each side by '1.084'.
x = -5.693726937

Simplifying
x = -5.693726937

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