3(x+10)-0.07(x-40)=8.1

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Solution for 3(x+10)-0.07(x-40)=8.1 equation:


Simplifying
3(x + 10) + -0.07(x + -40) = 8.1

Reorder the terms:
3(10 + x) + -0.07(x + -40) = 8.1
(10 * 3 + x * 3) + -0.07(x + -40) = 8.1
(30 + 3x) + -0.07(x + -40) = 8.1

Reorder the terms:
30 + 3x + -0.07(-40 + x) = 8.1
30 + 3x + (-40 * -0.07 + x * -0.07) = 8.1
30 + 3x + (2.8 + -0.07x) = 8.1

Reorder the terms:
30 + 2.8 + 3x + -0.07x = 8.1

Combine like terms: 30 + 2.8 = 32.8
32.8 + 3x + -0.07x = 8.1

Combine like terms: 3x + -0.07x = 2.93x
32.8 + 2.93x = 8.1

Solving
32.8 + 2.93x = 8.1

Solving for variable 'x'.

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

Add '-32.8' to each side of the equation.
32.8 + -32.8 + 2.93x = 8.1 + -32.8

Combine like terms: 32.8 + -32.8 = 0.0
0.0 + 2.93x = 8.1 + -32.8
2.93x = 8.1 + -32.8

Combine like terms: 8.1 + -32.8 = -24.7
2.93x = -24.7

Divide each side by '2.93'.
x = -8.43003413

Simplifying
x = -8.43003413

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