0.15(x+60)-0.02(x-40)=17.6

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Solution for 0.15(x+60)-0.02(x-40)=17.6 equation:


Simplifying
0.15(x + 60) + -0.02(x + -40) = 17.6

Reorder the terms:
0.15(60 + x) + -0.02(x + -40) = 17.6
(60 * 0.15 + x * 0.15) + -0.02(x + -40) = 17.6
(9 + 0.15x) + -0.02(x + -40) = 17.6

Reorder the terms:
9 + 0.15x + -0.02(-40 + x) = 17.6
9 + 0.15x + (-40 * -0.02 + x * -0.02) = 17.6
9 + 0.15x + (0.8 + -0.02x) = 17.6

Reorder the terms:
9 + 0.8 + 0.15x + -0.02x = 17.6

Combine like terms: 9 + 0.8 = 9.8
9.8 + 0.15x + -0.02x = 17.6

Combine like terms: 0.15x + -0.02x = 0.13x
9.8 + 0.13x = 17.6

Solving
9.8 + 0.13x = 17.6

Solving for variable 'x'.

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

Add '-9.8' to each side of the equation.
9.8 + -9.8 + 0.13x = 17.6 + -9.8

Combine like terms: 9.8 + -9.8 = 0.0
0.0 + 0.13x = 17.6 + -9.8
0.13x = 17.6 + -9.8

Combine like terms: 17.6 + -9.8 = 7.8
0.13x = 7.8

Divide each side by '0.13'.
x = 60

Simplifying
x = 60

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