100x+25(x+3)+5(2x)=1830

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Solution for 100x+25(x+3)+5(2x)=1830 equation:


Simplifying
100x + 25(x + 3) + 5(2x) = 1830

Reorder the terms:
100x + 25(3 + x) + 5(2x) = 1830
100x + (3 * 25 + x * 25) + 5(2x) = 1830
100x + (75 + 25x) + 5(2x) = 1830

Remove parenthesis around (2x)
100x + 75 + 25x + 5 * 2x = 1830

Multiply 5 * 2
100x + 75 + 25x + 10x = 1830

Reorder the terms:
75 + 100x + 25x + 10x = 1830

Combine like terms: 100x + 25x = 125x
75 + 125x + 10x = 1830

Combine like terms: 125x + 10x = 135x
75 + 135x = 1830

Solving
75 + 135x = 1830

Solving for variable 'x'.

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

Add '-75' to each side of the equation.
75 + -75 + 135x = 1830 + -75

Combine like terms: 75 + -75 = 0
0 + 135x = 1830 + -75
135x = 1830 + -75

Combine like terms: 1830 + -75 = 1755
135x = 1755

Divide each side by '135'.
x = 13

Simplifying
x = 13

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