.08(x+60)-.02(x-30)=-7.8

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Solution for .08(x+60)-.02(x-30)=-7.8 equation: 


Simplifying
0.08(x + 60) + -0.02(x + -30) = -7.8

Reorder the terms:
0.08(60 + x) + -0.02(x + -30) = -7.8
(60 * 0.08 + x * 0.08) + -0.02(x + -30) = -7.8
(4.8 + 0.08x) + -0.02(x + -30) = -7.8

Reorder the terms:
4.8 + 0.08x + -0.02(-30 + x) = -7.8
4.8 + 0.08x + (-30 * -0.02 + x * -0.02) = -7.8
4.8 + 0.08x + (0.6 + -0.02x) = -7.8

Reorder the terms:
4.8 + 0.6 + 0.08x + -0.02x = -7.8

Combine like terms: 4.8 + 0.6 = 5.4
5.4 + 0.08x + -0.02x = -7.8

Combine like terms: 0.08x + -0.02x = 0.06x
5.4 + 0.06x = -7.8

Solving
5.4 + 0.06x = -7.8

Solving for variable 'x'.

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

Add '-5.4' to each side of the equation.
5.4 + -5.4 + 0.06x = -7.8 + -5.4

Combine like terms: 5.4 + -5.4 = 0.0
0.0 + 0.06x = -7.8 + -5.4
0.06x = -7.8 + -5.4

Combine like terms: -7.8 + -5.4 = -13.2
0.06x = -13.2

Divide each side by '0.06'.
x = -220

Simplifying
x = -220

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