.5x+.10(x-7)=.25(x)

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Solution for .5x+.10(x-7)=.25(x) equation:


Simplifying
0.5x + 0.10(x + -7) = 0.25(x)

Reorder the terms:
0.5x + 0.10(-7 + x) = 0.25(x)
0.5x + (-7 * 0.10 + x * 0.10) = 0.25(x)
0.5x + (-0.7 + 0.10x) = 0.25(x)

Reorder the terms:
-0.7 + 0.5x + 0.10x = 0.25(x)

Combine like terms: 0.5x + 0.10x = 0.6x
-0.7 + 0.6x = 0.25(x)

Solving
-0.7 + 0.6x = 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.
-0.7 + 0.6x + -0.25x = 0.25x + -0.25x

Combine like terms: 0.6x + -0.25x = 0.35x
-0.7 + 0.35x = 0.25x + -0.25x

Combine like terms: 0.25x + -0.25x = 0.00
-0.7 + 0.35x = 0.00

Add '0.7' to each side of the equation.
-0.7 + 0.7 + 0.35x = 0.00 + 0.7

Combine like terms: -0.7 + 0.7 = 0.0
0.0 + 0.35x = 0.00 + 0.7
0.35x = 0.00 + 0.7

Combine like terms: 0.00 + 0.7 = 0.7
0.35x = 0.7

Divide each side by '0.35'.
x = 2

Simplifying
x = 2

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