.17x+.01(6x+5)=.02(3-x)

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Solution for .17x+.01(6x+5)=.02(3-x) equation:


Simplifying
0.17x + 0.01(6x + 5) = 0.02(3 + -1x)

Reorder the terms:
0.17x + 0.01(5 + 6x) = 0.02(3 + -1x)
0.17x + (5 * 0.01 + 6x * 0.01) = 0.02(3 + -1x)
0.17x + (0.05 + 0.06x) = 0.02(3 + -1x)

Reorder the terms:
0.05 + 0.17x + 0.06x = 0.02(3 + -1x)

Combine like terms: 0.17x + 0.06x = 0.23x
0.05 + 0.23x = 0.02(3 + -1x)
0.05 + 0.23x = (3 * 0.02 + -1x * 0.02)
0.05 + 0.23x = (0.06 + -0.02x)

Solving
0.05 + 0.23x = 0.06 + -0.02x

Solving for variable 'x'.

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

Add '0.02x' to each side of the equation.
0.05 + 0.23x + 0.02x = 0.06 + -0.02x + 0.02x

Combine like terms: 0.23x + 0.02x = 0.25x
0.05 + 0.25x = 0.06 + -0.02x + 0.02x

Combine like terms: -0.02x + 0.02x = 0.00
0.05 + 0.25x = 0.06 + 0.00
0.05 + 0.25x = 0.06

Add '-0.05' to each side of the equation.
0.05 + -0.05 + 0.25x = 0.06 + -0.05

Combine like terms: 0.05 + -0.05 = 0.00
0.00 + 0.25x = 0.06 + -0.05
0.25x = 0.06 + -0.05

Combine like terms: 0.06 + -0.05 = 0.01
0.25x = 0.01

Divide each side by '0.25'.
x = 0.04

Simplifying
x = 0.04

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