0.4(6x+20)-4=0.25(8x+20)

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Solution for 0.4(6x+20)-4=0.25(8x+20) equation: 


Simplifying
0.4(6x + 20) + -4 = 0.25(8x + 20)

Reorder the terms:
0.4(20 + 6x) + -4 = 0.25(8x + 20)
(20 * 0.4 + 6x * 0.4) + -4 = 0.25(8x + 20)
(8 + 2.4x) + -4 = 0.25(8x + 20)

Reorder the terms:
8 + -4 + 2.4x = 0.25(8x + 20)

Combine like terms: 8 + -4 = 4
4 + 2.4x = 0.25(8x + 20)

Reorder the terms:
4 + 2.4x = 0.25(20 + 8x)
4 + 2.4x = (20 * 0.25 + 8x * 0.25)
4 + 2.4x = (5 + 2x)

Solving
4 + 2.4x = 5 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
4 + 2.4x + -2x = 5 + 2x + -2x

Combine like terms: 2.4x + -2x = 0.4x
4 + 0.4x = 5 + 2x + -2x

Combine like terms: 2x + -2x = 0
4 + 0.4x = 5 + 0
4 + 0.4x = 5

Add '-4' to each side of the equation.
4 + -4 + 0.4x = 5 + -4

Combine like terms: 4 + -4 = 0
0 + 0.4x = 5 + -4
0.4x = 5 + -4

Combine like terms: 5 + -4 = 1
0.4x = 1

Divide each side by '0.4'.
x = 2.5

Simplifying
x = 2.5

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