0.5(2x+8)=0.4(10x-9)

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Solution for 0.5(2x+8)=0.4(10x-9) equation:


Simplifying
0.5(2x + 8) = 0.4(10x + -9)

Reorder the terms:
0.5(8 + 2x) = 0.4(10x + -9)
(8 * 0.5 + 2x * 0.5) = 0.4(10x + -9)
(4 + 1x) = 0.4(10x + -9)

Reorder the terms:
4 + 1x = 0.4(-9 + 10x)
4 + 1x = (-9 * 0.4 + 10x * 0.4)
4 + 1x = (-3.6 + 4x)

Solving
4 + 1x = -3.6 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
4 + 1x + -4x = -3.6 + 4x + -4x

Combine like terms: 1x + -4x = -3x
4 + -3x = -3.6 + 4x + -4x

Combine like terms: 4x + -4x = 0
4 + -3x = -3.6 + 0
4 + -3x = -3.6

Add '-4' to each side of the equation.
4 + -4 + -3x = -3.6 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = -3.6 + -4
-3x = -3.6 + -4

Combine like terms: -3.6 + -4 = -7.6
-3x = -7.6

Divide each side by '-3'.
x = 2.533333333

Simplifying
x = 2.533333333

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