0.15(x+10)-0.07(x-40)=3.5

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Solution for 0.15(x+10)-0.07(x-40)=3.5 equation: 


Simplifying
0.15(x + 10) + -0.07(x + -40) = 3.5

Reorder the terms:
0.15(10 + x) + -0.07(x + -40) = 3.5
(10 * 0.15 + x * 0.15) + -0.07(x + -40) = 3.5
(1.5 + 0.15x) + -0.07(x + -40) = 3.5

Reorder the terms:
1.5 + 0.15x + -0.07(-40 + x) = 3.5
1.5 + 0.15x + (-40 * -0.07 + x * -0.07) = 3.5
1.5 + 0.15x + (2.8 + -0.07x) = 3.5

Reorder the terms:
1.5 + 2.8 + 0.15x + -0.07x = 3.5

Combine like terms: 1.5 + 2.8 = 4.3
4.3 + 0.15x + -0.07x = 3.5

Combine like terms: 0.15x + -0.07x = 0.08x
4.3 + 0.08x = 3.5

Solving
4.3 + 0.08x = 3.5

Solving for variable 'x'.

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

Add '-4.3' to each side of the equation.
4.3 + -4.3 + 0.08x = 3.5 + -4.3

Combine like terms: 4.3 + -4.3 = 0.0
0.0 + 0.08x = 3.5 + -4.3
0.08x = 3.5 + -4.3

Combine like terms: 3.5 + -4.3 = -0.8
0.08x = -0.8

Divide each side by '0.08'.
x = -10

Simplifying
x = -10

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