0.2(4x-36)=-0.4(x-3)

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Solution for 0.2(4x-36)=-0.4(x-3) equation:


Simplifying
0.2(4x + -36) = -0.4(x + -3)

Reorder the terms:
0.2(-36 + 4x) = -0.4(x + -3)
(-36 * 0.2 + 4x * 0.2) = -0.4(x + -3)
(-7.2 + 0.8x) = -0.4(x + -3)

Reorder the terms:
-7.2 + 0.8x = -0.4(-3 + x)
-7.2 + 0.8x = (-3 * -0.4 + x * -0.4)
-7.2 + 0.8x = (1.2 + -0.4x)

Solving
-7.2 + 0.8x = 1.2 + -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.
-7.2 + 0.8x + 0.4x = 1.2 + -0.4x + 0.4x

Combine like terms: 0.8x + 0.4x = 1.2x
-7.2 + 1.2x = 1.2 + -0.4x + 0.4x

Combine like terms: -0.4x + 0.4x = 0.0
-7.2 + 1.2x = 1.2 + 0.0
-7.2 + 1.2x = 1.2

Add '7.2' to each side of the equation.
-7.2 + 7.2 + 1.2x = 1.2 + 7.2

Combine like terms: -7.2 + 7.2 = 0.0
0.0 + 1.2x = 1.2 + 7.2
1.2x = 1.2 + 7.2

Combine like terms: 1.2 + 7.2 = 8.4
1.2x = 8.4

Divide each side by '1.2'.
x = 7

Simplifying
x = 7

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