0.15(x+20)-0.04(x-30)=9.7

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Solution for 0.15(x+20)-0.04(x-30)=9.7 equation: 


Simplifying
0.15(x + 20) + -0.04(x + -30) = 9.7

Reorder the terms:
0.15(20 + x) + -0.04(x + -30) = 9.7
(20 * 0.15 + x * 0.15) + -0.04(x + -30) = 9.7
(3 + 0.15x) + -0.04(x + -30) = 9.7

Reorder the terms:
3 + 0.15x + -0.04(-30 + x) = 9.7
3 + 0.15x + (-30 * -0.04 + x * -0.04) = 9.7
3 + 0.15x + (1.2 + -0.04x) = 9.7

Reorder the terms:
3 + 1.2 + 0.15x + -0.04x = 9.7

Combine like terms: 3 + 1.2 = 4.2
4.2 + 0.15x + -0.04x = 9.7

Combine like terms: 0.15x + -0.04x = 0.11x
4.2 + 0.11x = 9.7

Solving
4.2 + 0.11x = 9.7

Solving for variable 'x'.

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

Add '-4.2' to each side of the equation.
4.2 + -4.2 + 0.11x = 9.7 + -4.2

Combine like terms: 4.2 + -4.2 = 0.0
0.0 + 0.11x = 9.7 + -4.2
0.11x = 9.7 + -4.2

Combine like terms: 9.7 + -4.2 = 5.5
0.11x = 5.5

Divide each side by '0.11'.
x = 50

Simplifying
x = 50

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