0.8x-0.5(5-3x)=-0.7(x-5)

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Solution for 0.8x-0.5(5-3x)=-0.7(x-5) equation: 


Simplifying
0.8x + -0.5(5 + -3x) = -0.7(x + -5)
0.8x + (5 * -0.5 + -3x * -0.5) = -0.7(x + -5)
0.8x + (-2.5 + 1.5x) = -0.7(x + -5)

Reorder the terms:
-2.5 + 0.8x + 1.5x = -0.7(x + -5)

Combine like terms: 0.8x + 1.5x = 2.3x
-2.5 + 2.3x = -0.7(x + -5)

Reorder the terms:
-2.5 + 2.3x = -0.7(-5 + x)
-2.5 + 2.3x = (-5 * -0.7 + x * -0.7)
-2.5 + 2.3x = (3.5 + -0.7x)

Solving
-2.5 + 2.3x = 3.5 + -0.7x

Solving for variable 'x'.

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

Add '0.7x' to each side of the equation.
-2.5 + 2.3x + 0.7x = 3.5 + -0.7x + 0.7x

Combine like terms: 2.3x + 0.7x = 3x
-2.5 + 3x = 3.5 + -0.7x + 0.7x

Combine like terms: -0.7x + 0.7x = 0.0
-2.5 + 3x = 3.5 + 0.0
-2.5 + 3x = 3.5

Add '2.5' to each side of the equation.
-2.5 + 2.5 + 3x = 3.5 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + 3x = 3.5 + 2.5
3x = 3.5 + 2.5

Combine like terms: 3.5 + 2.5 = 6
3x = 6

Divide each side by '3'.
x = 2

Simplifying
x = 2

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