-0.17(x-12)+0.5(x+2)=x+3

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Solution for -0.17(x-12)+0.5(x+2)=x+3 equation:


Simplifying
-0.17(x + -12) + 0.5(x + 2) = x + 3

Reorder the terms:
-0.17(-12 + x) + 0.5(x + 2) = x + 3
(-12 * -0.17 + x * -0.17) + 0.5(x + 2) = x + 3
(2.04 + -0.17x) + 0.5(x + 2) = x + 3

Reorder the terms:
2.04 + -0.17x + 0.5(2 + x) = x + 3
2.04 + -0.17x + (2 * 0.5 + x * 0.5) = x + 3
2.04 + -0.17x + (1 + 0.5x) = x + 3

Reorder the terms:
2.04 + 1 + -0.17x + 0.5x = x + 3

Combine like terms: 2.04 + 1 = 3.04
3.04 + -0.17x + 0.5x = x + 3

Combine like terms: -0.17x + 0.5x = 0.33x
3.04 + 0.33x = x + 3

Reorder the terms:
3.04 + 0.33x = 3 + x

Solving
3.04 + 0.33x = 3 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
3.04 + 0.33x + -1x = 3 + x + -1x

Combine like terms: 0.33x + -1x = -0.67x
3.04 + -0.67x = 3 + x + -1x

Combine like terms: x + -1x = 0
3.04 + -0.67x = 3 + 0
3.04 + -0.67x = 3

Add '-3.04' to each side of the equation.
3.04 + -3.04 + -0.67x = 3 + -3.04

Combine like terms: 3.04 + -3.04 = 0.00
0.00 + -0.67x = 3 + -3.04
-0.67x = 3 + -3.04

Combine like terms: 3 + -3.04 = -0.04
-0.67x = -0.04

Divide each side by '-0.67'.
x = 0.05970149254

Simplifying
x = 0.05970149254

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