.25(40-8x)=19x+2-5x

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Solution for .25(40-8x)=19x+2-5x equation:


Simplifying
0.25(40 + -8x) = 19x + 2 + -5x
(40 * 0.25 + -8x * 0.25) = 19x + 2 + -5x
(10 + -2x) = 19x + 2 + -5x

Reorder the terms:
10 + -2x = 2 + 19x + -5x

Combine like terms: 19x + -5x = 14x
10 + -2x = 2 + 14x

Solving
10 + -2x = 2 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
10 + -2x + -14x = 2 + 14x + -14x

Combine like terms: -2x + -14x = -16x
10 + -16x = 2 + 14x + -14x

Combine like terms: 14x + -14x = 0
10 + -16x = 2 + 0
10 + -16x = 2

Add '-10' to each side of the equation.
10 + -10 + -16x = 2 + -10

Combine like terms: 10 + -10 = 0
0 + -16x = 2 + -10
-16x = 2 + -10

Combine like terms: 2 + -10 = -8
-16x = -8

Divide each side by '-16'.
x = 0.5

Simplifying
x = 0.5

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