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

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


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

Reorder the terms:
0.02 + -0.03(3 + x) = -0.05(3 + -1x)
0.02 + (3 * -0.03 + x * -0.03) = -0.05(3 + -1x)
0.02 + (-0.09 + -0.03x) = -0.05(3 + -1x)

Combine like terms: 0.02 + -0.09 = -0.07
-0.07 + -0.03x = -0.05(3 + -1x)
-0.07 + -0.03x = (3 * -0.05 + -1x * -0.05)
-0.07 + -0.03x = (-0.15 + 0.05x)

Solving
-0.07 + -0.03x = -0.15 + 0.05x

Solving for variable 'x'.

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

Add '-0.05x' to each side of the equation.
-0.07 + -0.03x + -0.05x = -0.15 + 0.05x + -0.05x

Combine like terms: -0.03x + -0.05x = -0.08x
-0.07 + -0.08x = -0.15 + 0.05x + -0.05x

Combine like terms: 0.05x + -0.05x = 0.00
-0.07 + -0.08x = -0.15 + 0.00
-0.07 + -0.08x = -0.15

Add '0.07' to each side of the equation.
-0.07 + 0.07 + -0.08x = -0.15 + 0.07

Combine like terms: -0.07 + 0.07 = 0.00
0.00 + -0.08x = -0.15 + 0.07
-0.08x = -0.15 + 0.07

Combine like terms: -0.15 + 0.07 = -0.08
-0.08x = -0.08

Divide each side by '-0.08'.
x = 1

Simplifying
x = 1

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