0.4(3x-2)-1.5=0.08(x+4)

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Solution for 0.4(3x-2)-1.5=0.08(x+4) equation:


Simplifying
0.4(3x + -2) + -1.5 = 0.08(x + 4)

Reorder the terms:
0.4(-2 + 3x) + -1.5 = 0.08(x + 4)
(-2 * 0.4 + 3x * 0.4) + -1.5 = 0.08(x + 4)
(-0.8 + 1.2x) + -1.5 = 0.08(x + 4)

Reorder the terms:
-0.8 + -1.5 + 1.2x = 0.08(x + 4)

Combine like terms: -0.8 + -1.5 = -2.3
-2.3 + 1.2x = 0.08(x + 4)

Reorder the terms:
-2.3 + 1.2x = 0.08(4 + x)
-2.3 + 1.2x = (4 * 0.08 + x * 0.08)
-2.3 + 1.2x = (0.32 + 0.08x)

Solving
-2.3 + 1.2x = 0.32 + 0.08x

Solving for variable 'x'.

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

Add '-0.08x' to each side of the equation.
-2.3 + 1.2x + -0.08x = 0.32 + 0.08x + -0.08x

Combine like terms: 1.2x + -0.08x = 1.12x
-2.3 + 1.12x = 0.32 + 0.08x + -0.08x

Combine like terms: 0.08x + -0.08x = 0.00
-2.3 + 1.12x = 0.32 + 0.00
-2.3 + 1.12x = 0.32

Add '2.3' to each side of the equation.
-2.3 + 2.3 + 1.12x = 0.32 + 2.3

Combine like terms: -2.3 + 2.3 = 0.0
0.0 + 1.12x = 0.32 + 2.3
1.12x = 0.32 + 2.3

Combine like terms: 0.32 + 2.3 = 2.62
1.12x = 2.62

Divide each side by '1.12'.
x = 2.339285714

Simplifying
x = 2.339285714

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