(x+5-.4)=7(5x+25)

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Solution for (x+5-.4)=7(5x+25) equation:


Simplifying
(x + 5 + -0.4) = 7(5x + 25)

Reorder the terms:
(5 + -0.4 + x) = 7(5x + 25)

Combine like terms: 5 + -0.4 = 4.6
(4.6 + x) = 7(5x + 25)

Remove parenthesis around (4.6 + x)
4.6 + x = 7(5x + 25)

Reorder the terms:
4.6 + x = 7(25 + 5x)
4.6 + x = (25 * 7 + 5x * 7)
4.6 + x = (175 + 35x)

Solving
4.6 + x = 175 + 35x

Solving for variable 'x'.

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

Add '-35x' to each side of the equation.
4.6 + x + -35x = 175 + 35x + -35x

Combine like terms: x + -35x = -34x
4.6 + -34x = 175 + 35x + -35x

Combine like terms: 35x + -35x = 0
4.6 + -34x = 175 + 0
4.6 + -34x = 175

Add '-4.6' to each side of the equation.
4.6 + -4.6 + -34x = 175 + -4.6

Combine like terms: 4.6 + -4.6 = 0.0
0.0 + -34x = 175 + -4.6
-34x = 175 + -4.6

Combine like terms: 175 + -4.6 = 170.4
-34x = 170.4

Divide each side by '-34'.
x = -5.011764706

Simplifying
x = -5.011764706

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