0.3(x+10)-0.08(x-40)=-4.8

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Solution for 0.3(x+10)-0.08(x-40)=-4.8 equation:


Simplifying
0.3(x + 10) + -0.08(x + -40) = -4.8

Reorder the terms:
0.3(10 + x) + -0.08(x + -40) = -4.8
(10 * 0.3 + x * 0.3) + -0.08(x + -40) = -4.8
(3 + 0.3x) + -0.08(x + -40) = -4.8

Reorder the terms:
3 + 0.3x + -0.08(-40 + x) = -4.8
3 + 0.3x + (-40 * -0.08 + x * -0.08) = -4.8
3 + 0.3x + (3.2 + -0.08x) = -4.8

Reorder the terms:
3 + 3.2 + 0.3x + -0.08x = -4.8

Combine like terms: 3 + 3.2 = 6.2
6.2 + 0.3x + -0.08x = -4.8

Combine like terms: 0.3x + -0.08x = 0.22x
6.2 + 0.22x = -4.8

Solving
6.2 + 0.22x = -4.8

Solving for variable 'x'.

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

Add '-6.2' to each side of the equation.
6.2 + -6.2 + 0.22x = -4.8 + -6.2

Combine like terms: 6.2 + -6.2 = 0.0
0.0 + 0.22x = -4.8 + -6.2
0.22x = -4.8 + -6.2

Combine like terms: -4.8 + -6.2 = -11
0.22x = -11

Divide each side by '0.22'.
x = -50

Simplifying
x = -50

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