0.03(x-40)+0.9(x+10)=45

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Solution for 0.03(x-40)+0.9(x+10)=45 equation:


Simplifying
0.03(x + -40) + 0.9(x + 10) = 45

Reorder the terms:
0.03(-40 + x) + 0.9(x + 10) = 45
(-40 * 0.03 + x * 0.03) + 0.9(x + 10) = 45
(-1.2 + 0.03x) + 0.9(x + 10) = 45

Reorder the terms:
-1.2 + 0.03x + 0.9(10 + x) = 45
-1.2 + 0.03x + (10 * 0.9 + x * 0.9) = 45
-1.2 + 0.03x + (9 + 0.9x) = 45

Reorder the terms:
-1.2 + 9 + 0.03x + 0.9x = 45

Combine like terms: -1.2 + 9 = 7.8
7.8 + 0.03x + 0.9x = 45

Combine like terms: 0.03x + 0.9x = 0.93x
7.8 + 0.93x = 45

Solving
7.8 + 0.93x = 45

Solving for variable 'x'.

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

Add '-7.8' to each side of the equation.
7.8 + -7.8 + 0.93x = 45 + -7.8

Combine like terms: 7.8 + -7.8 = 0.0
0.0 + 0.93x = 45 + -7.8
0.93x = 45 + -7.8

Combine like terms: 45 + -7.8 = 37.2
0.93x = 37.2

Divide each side by '0.93'.
x = 40

Simplifying
x = 40

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