0.05-0.03(x+2)=0.02(3-x)

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Solution for 0.05-0.03(x+2)=0.02(3-x) equation:


Simplifying
0.05 + -0.03(x + 2) = 0.02(3 + -1x)

Reorder the terms:
0.05 + -0.03(2 + x) = 0.02(3 + -1x)
0.05 + (2 * -0.03 + x * -0.03) = 0.02(3 + -1x)
0.05 + (-0.06 + -0.03x) = 0.02(3 + -1x)

Combine like terms: 0.05 + -0.06 = -0.01
-0.01 + -0.03x = 0.02(3 + -1x)
-0.01 + -0.03x = (3 * 0.02 + -1x * 0.02)
-0.01 + -0.03x = (0.06 + -0.02x)

Solving
-0.01 + -0.03x = 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.
-0.01 + -0.03x + 0.02x = 0.06 + -0.02x + 0.02x

Combine like terms: -0.03x + 0.02x = -0.01x
-0.01 + -0.01x = 0.06 + -0.02x + 0.02x

Combine like terms: -0.02x + 0.02x = 0.00
-0.01 + -0.01x = 0.06 + 0.00
-0.01 + -0.01x = 0.06

Add '0.01' to each side of the equation.
-0.01 + 0.01 + -0.01x = 0.06 + 0.01

Combine like terms: -0.01 + 0.01 = 0.00
0.00 + -0.01x = 0.06 + 0.01
-0.01x = 0.06 + 0.01

Combine like terms: 0.06 + 0.01 = 0.07
-0.01x = 0.07

Divide each side by '-0.01'.
x = -7

Simplifying
x = -7

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