.5(x+.5)=.34(x+.12)+.23

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Solution for .5(x+.5)=.34(x+.12)+.23 equation:


Simplifying
0.5(x + 0.5) = 0.34(x + 0.12) + 0.23

Reorder the terms:
0.5(0.5 + x) = 0.34(x + 0.12) + 0.23
(0.5 * 0.5 + x * 0.5) = 0.34(x + 0.12) + 0.23
(0.25 + 0.5x) = 0.34(x + 0.12) + 0.23

Reorder the terms:
0.25 + 0.5x = 0.34(0.12 + x) + 0.23
0.25 + 0.5x = (0.12 * 0.34 + x * 0.34) + 0.23
0.25 + 0.5x = (0.0408 + 0.34x) + 0.23

Reorder the terms:
0.25 + 0.5x = 0.0408 + 0.23 + 0.34x

Combine like terms: 0.0408 + 0.23 = 0.2708
0.25 + 0.5x = 0.2708 + 0.34x

Solving
0.25 + 0.5x = 0.2708 + 0.34x

Solving for variable 'x'.

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

Add '-0.34x' to each side of the equation.
0.25 + 0.5x + -0.34x = 0.2708 + 0.34x + -0.34x

Combine like terms: 0.5x + -0.34x = 0.16x
0.25 + 0.16x = 0.2708 + 0.34x + -0.34x

Combine like terms: 0.34x + -0.34x = 0.00
0.25 + 0.16x = 0.2708 + 0.00
0.25 + 0.16x = 0.2708

Add '-0.25' to each side of the equation.
0.25 + -0.25 + 0.16x = 0.2708 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + 0.16x = 0.2708 + -0.25
0.16x = 0.2708 + -0.25

Combine like terms: 0.2708 + -0.25 = 0.0208
0.16x = 0.0208

Divide each side by '0.16'.
x = 0.13

Simplifying
x = 0.13

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