0.02(2x-24)=-0.4(x-1)

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Solution for 0.02(2x-24)=-0.4(x-1) equation: 


Simplifying
0.02(2x + -24) = -0.4(x + -1)

Reorder the terms:
0.02(-24 + 2x) = -0.4(x + -1)
(-24 * 0.02 + 2x * 0.02) = -0.4(x + -1)
(-0.48 + 0.04x) = -0.4(x + -1)

Reorder the terms:
-0.48 + 0.04x = -0.4(-1 + x)
-0.48 + 0.04x = (-1 * -0.4 + x * -0.4)
-0.48 + 0.04x = (0.4 + -0.4x)

Solving
-0.48 + 0.04x = 0.4 + -0.4x

Solving for variable 'x'.

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

Add '0.4x' to each side of the equation.
-0.48 + 0.04x + 0.4x = 0.4 + -0.4x + 0.4x

Combine like terms: 0.04x + 0.4x = 0.44x
-0.48 + 0.44x = 0.4 + -0.4x + 0.4x

Combine like terms: -0.4x + 0.4x = 0.0
-0.48 + 0.44x = 0.4 + 0.0
-0.48 + 0.44x = 0.4

Add '0.48' to each side of the equation.
-0.48 + 0.48 + 0.44x = 0.4 + 0.48

Combine like terms: -0.48 + 0.48 = 0.00
0.00 + 0.44x = 0.4 + 0.48
0.44x = 0.4 + 0.48

Combine like terms: 0.4 + 0.48 = 0.88
0.44x = 0.88

Divide each side by '0.44'.
x = 2

Simplifying
x = 2

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