0.5x-0.8(17-4x)=-0.4(x-7)

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Solution for 0.5x-0.8(17-4x)=-0.4(x-7) equation: 


Simplifying
0.5x + -0.8(17 + -4x) = -0.4(x + -7)
0.5x + (17 * -0.8 + -4x * -0.8) = -0.4(x + -7)
0.5x + (-13.6 + 3.2x) = -0.4(x + -7)

Reorder the terms:
-13.6 + 0.5x + 3.2x = -0.4(x + -7)

Combine like terms: 0.5x + 3.2x = 3.7x
-13.6 + 3.7x = -0.4(x + -7)

Reorder the terms:
-13.6 + 3.7x = -0.4(-7 + x)
-13.6 + 3.7x = (-7 * -0.4 + x * -0.4)
-13.6 + 3.7x = (2.8 + -0.4x)

Solving
-13.6 + 3.7x = 2.8 + -0.4x

Solving for variable 'x'.

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

Add '0.4x' to each side of the equation.
-13.6 + 3.7x + 0.4x = 2.8 + -0.4x + 0.4x

Combine like terms: 3.7x + 0.4x = 4.1x
-13.6 + 4.1x = 2.8 + -0.4x + 0.4x

Combine like terms: -0.4x + 0.4x = 0.0
-13.6 + 4.1x = 2.8 + 0.0
-13.6 + 4.1x = 2.8

Add '13.6' to each side of the equation.
-13.6 + 13.6 + 4.1x = 2.8 + 13.6

Combine like terms: -13.6 + 13.6 = 0.0
0.0 + 4.1x = 2.8 + 13.6
4.1x = 2.8 + 13.6

Combine like terms: 2.8 + 13.6 = 16.4
4.1x = 16.4

Divide each side by '4.1'.
x = 4

Simplifying
x = 4

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