.2(x+7)+5=.25(5x-3)-17

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Solution for .2(x+7)+5=.25(5x-3)-17 equation:


Simplifying
0.2(x + 7) + 5 = 0.25(5x + -3) + -17

Reorder the terms:
0.2(7 + x) + 5 = 0.25(5x + -3) + -17
(7 * 0.2 + x * 0.2) + 5 = 0.25(5x + -3) + -17
(1.4 + 0.2x) + 5 = 0.25(5x + -3) + -17

Reorder the terms:
1.4 + 5 + 0.2x = 0.25(5x + -3) + -17

Combine like terms: 1.4 + 5 = 6.4
6.4 + 0.2x = 0.25(5x + -3) + -17

Reorder the terms:
6.4 + 0.2x = 0.25(-3 + 5x) + -17
6.4 + 0.2x = (-3 * 0.25 + 5x * 0.25) + -17
6.4 + 0.2x = (-0.75 + 1.25x) + -17

Reorder the terms:
6.4 + 0.2x = -0.75 + -17 + 1.25x

Combine like terms: -0.75 + -17 = -17.75
6.4 + 0.2x = -17.75 + 1.25x

Solving
6.4 + 0.2x = -17.75 + 1.25x

Solving for variable 'x'.

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

Add '-1.25x' to each side of the equation.
6.4 + 0.2x + -1.25x = -17.75 + 1.25x + -1.25x

Combine like terms: 0.2x + -1.25x = -1.05x
6.4 + -1.05x = -17.75 + 1.25x + -1.25x

Combine like terms: 1.25x + -1.25x = 0.00
6.4 + -1.05x = -17.75 + 0.00
6.4 + -1.05x = -17.75

Add '-6.4' to each side of the equation.
6.4 + -6.4 + -1.05x = -17.75 + -6.4

Combine like terms: 6.4 + -6.4 = 0.0
0.0 + -1.05x = -17.75 + -6.4
-1.05x = -17.75 + -6.4

Combine like terms: -17.75 + -6.4 = -24.15
-1.05x = -24.15

Divide each side by '-1.05'.
x = 23

Simplifying
x = 23

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