.35(x+4)=.25(x-6)

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Solution for .35(x+4)=.25(x-6) equation:


Simplifying
0.35(x + 4) = 0.25(x + -6)

Reorder the terms:
0.35(4 + x) = 0.25(x + -6)
(4 * 0.35 + x * 0.35) = 0.25(x + -6)
(1.4 + 0.35x) = 0.25(x + -6)

Reorder the terms:
1.4 + 0.35x = 0.25(-6 + x)
1.4 + 0.35x = (-6 * 0.25 + x * 0.25)
1.4 + 0.35x = (-1.5 + 0.25x)

Solving
1.4 + 0.35x = -1.5 + 0.25x

Solving for variable 'x'.

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

Add '-0.25x' to each side of the equation.
1.4 + 0.35x + -0.25x = -1.5 + 0.25x + -0.25x

Combine like terms: 0.35x + -0.25x = 0.1x
1.4 + 0.1x = -1.5 + 0.25x + -0.25x

Combine like terms: 0.25x + -0.25x = 0.00
1.4 + 0.1x = -1.5 + 0.00
1.4 + 0.1x = -1.5

Add '-1.4' to each side of the equation.
1.4 + -1.4 + 0.1x = -1.5 + -1.4

Combine like terms: 1.4 + -1.4 = 0.0
0.0 + 0.1x = -1.5 + -1.4
0.1x = -1.5 + -1.4

Combine like terms: -1.5 + -1.4 = -2.9
0.1x = -2.9

Divide each side by '0.1'.
x = -29

Simplifying
x = -29

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