.10x+.25(x+3)-.5=2.7

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Solution for .10x+.25(x+3)-.5=2.7 equation: 


Simplifying
0.10x + 0.25(x + 3) + -0.5 = 2.7

Reorder the terms:
0.10x + 0.25(3 + x) + -0.5 = 2.7
0.10x + (3 * 0.25 + x * 0.25) + -0.5 = 2.7
0.10x + (0.75 + 0.25x) + -0.5 = 2.7

Reorder the terms:
0.75 + -0.5 + 0.10x + 0.25x = 2.7

Combine like terms: 0.75 + -0.5 = 0.25
0.25 + 0.10x + 0.25x = 2.7

Combine like terms: 0.10x + 0.25x = 0.35x
0.25 + 0.35x = 2.7

Solving
0.25 + 0.35x = 2.7

Solving for variable 'x'.

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

Add '-0.25' to each side of the equation.
0.25 + -0.25 + 0.35x = 2.7 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + 0.35x = 2.7 + -0.25
0.35x = 2.7 + -0.25

Combine like terms: 2.7 + -0.25 = 2.45
0.35x = 2.45

Divide each side by '0.35'.
x = 7

Simplifying
x = 7

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