0.4x+7.5=0.3(8x-0.2)

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Solution for 0.4x+7.5=0.3(8x-0.2) equation:


Simplifying
0.4x + 7.5 = 0.3(8x + -0.2)

Reorder the terms:
7.5 + 0.4x = 0.3(8x + -0.2)

Reorder the terms:
7.5 + 0.4x = 0.3(-0.2 + 8x)
7.5 + 0.4x = (-0.2 * 0.3 + 8x * 0.3)
7.5 + 0.4x = (-0.06 + 2.4x)

Solving
7.5 + 0.4x = -0.06 + 2.4x

Solving for variable 'x'.

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

Add '-2.4x' to each side of the equation.
7.5 + 0.4x + -2.4x = -0.06 + 2.4x + -2.4x

Combine like terms: 0.4x + -2.4x = -2x
7.5 + -2x = -0.06 + 2.4x + -2.4x

Combine like terms: 2.4x + -2.4x = 0.0
7.5 + -2x = -0.06 + 0.0
7.5 + -2x = -0.06

Add '-7.5' to each side of the equation.
7.5 + -7.5 + -2x = -0.06 + -7.5

Combine like terms: 7.5 + -7.5 = 0.0
0.0 + -2x = -0.06 + -7.5
-2x = -0.06 + -7.5

Combine like terms: -0.06 + -7.5 = -7.56
-2x = -7.56

Divide each side by '-2'.
x = 3.78

Simplifying
x = 3.78

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