0.1(x+100)+1.5x=74

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Solution for 0.1(x+100)+1.5x=74 equation:


Simplifying
0.1(x + 100) + 1.5x = 74

Reorder the terms:
0.1(100 + x) + 1.5x = 74
(100 * 0.1 + x * 0.1) + 1.5x = 74
(10 + 0.1x) + 1.5x = 74

Combine like terms: 0.1x + 1.5x = 1.6x
10 + 1.6x = 74

Solving
10 + 1.6x = 74

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 1.6x = 74 + -10

Combine like terms: 10 + -10 = 0
0 + 1.6x = 74 + -10
1.6x = 74 + -10

Combine like terms: 74 + -10 = 64
1.6x = 64

Divide each side by '1.6'.
x = 40

Simplifying
x = 40

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