0.10x+0.25(x+7)+0.05(2)(x+3)=3.35

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Solution for 0.10x+0.25(x+7)+0.05(2)(x+3)=3.35 equation:


Simplifying
0.10x + 0.25(x + 7) + 0.05(2)(x + 3) = 3.35

Reorder the terms:
0.10x + 0.25(7 + x) + 0.05(2)(x + 3) = 3.35
0.10x + (7 * 0.25 + x * 0.25) + 0.05(2)(x + 3) = 3.35
0.10x + (1.75 + 0.25x) + 0.05(2)(x + 3) = 3.35

Reorder the terms:
0.10x + 1.75 + 0.25x + 0.05 * 2(3 + x) = 3.35

Multiply 0.05 * 2
0.10x + 1.75 + 0.25x + 0.1(3 + x) = 3.35
0.10x + 1.75 + 0.25x + (3 * 0.1 + x * 0.1) = 3.35
0.10x + 1.75 + 0.25x + (0.3 + 0.1x) = 3.35

Reorder the terms:
1.75 + 0.3 + 0.10x + 0.25x + 0.1x = 3.35

Combine like terms: 1.75 + 0.3 = 2.05
2.05 + 0.10x + 0.25x + 0.1x = 3.35

Combine like terms: 0.10x + 0.25x = 0.35x
2.05 + 0.35x + 0.1x = 3.35

Combine like terms: 0.35x + 0.1x = 0.45x
2.05 + 0.45x = 3.35

Solving
2.05 + 0.45x = 3.35

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 = 3.35 + -2.05

Combine like terms: 2.05 + -2.05 = 0.00
0.00 + 0.45x = 3.35 + -2.05
0.45x = 3.35 + -2.05

Combine like terms: 3.35 + -2.05 = 1.3
0.45x = 1.3

Divide each side by '0.45'.
x = 2.888888889

Simplifying
x = 2.888888889

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