0.10x+0.25(x+7)+0.05(2(x+3))=3.25

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Solution for 0.10x+0.25(x+7)+0.05(2(x+3))=3.25 equation: 


Simplifying
0.10x + 0.25(x + 7) + 0.05(2(x + 3)) = 3.25

Reorder the terms:
0.10x + 0.25(7 + x) + 0.05(2(x + 3)) = 3.25
0.10x + (7 * 0.25 + x * 0.25) + 0.05(2(x + 3)) = 3.25
0.10x + (1.75 + 0.25x) + 0.05(2(x + 3)) = 3.25

Reorder the terms:
0.10x + 1.75 + 0.25x + 0.05(2(3 + x)) = 3.25
0.10x + 1.75 + 0.25x + 0.05((3 * 2 + x * 2)) = 3.25
0.10x + 1.75 + 0.25x + 0.05((6 + 2x)) = 3.25
0.10x + 1.75 + 0.25x + (6 * 0.05 + 2x * 0.05) = 3.25
0.10x + 1.75 + 0.25x + (0.3 + 0.1x) = 3.25

Reorder the terms:
1.75 + 0.3 + 0.10x + 0.25x + 0.1x = 3.25

Combine like terms: 1.75 + 0.3 = 2.05
2.05 + 0.10x + 0.25x + 0.1x = 3.25

Combine like terms: 0.10x + 0.25x = 0.35x
2.05 + 0.35x + 0.1x = 3.25

Combine like terms: 0.35x + 0.1x = 0.45x
2.05 + 0.45x = 3.25

Solving
2.05 + 0.45x = 3.25

Solving for variable 'x'.

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

Add '-2.05' to each side of the equation.
2.05 + -2.05 + 0.45x = 3.25 + -2.05

Combine like terms: 2.05 + -2.05 = 0.00
0.00 + 0.45x = 3.25 + -2.05
0.45x = 3.25 + -2.05

Combine like terms: 3.25 + -2.05 = 1.2
0.45x = 1.2

Divide each side by '0.45'.
x = 2.666666667

Simplifying
x = 2.666666667

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