0.6x-0.02(16-2x)=-0.8(x-5)

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Solution for 0.6x-0.02(16-2x)=-0.8(x-5) equation:


Simplifying
0.6x + -0.02(16 + -2x) = -0.8(x + -5)
0.6x + (16 * -0.02 + -2x * -0.02) = -0.8(x + -5)
0.6x + (-0.32 + 0.04x) = -0.8(x + -5)

Reorder the terms:
-0.32 + 0.6x + 0.04x = -0.8(x + -5)

Combine like terms: 0.6x + 0.04x = 0.64x
-0.32 + 0.64x = -0.8(x + -5)

Reorder the terms:
-0.32 + 0.64x = -0.8(-5 + x)
-0.32 + 0.64x = (-5 * -0.8 + x * -0.8)
-0.32 + 0.64x = (4 + -0.8x)

Solving
-0.32 + 0.64x = 4 + -0.8x

Solving for variable 'x'.

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

Add '0.8x' to each side of the equation.
-0.32 + 0.64x + 0.8x = 4 + -0.8x + 0.8x

Combine like terms: 0.64x + 0.8x = 1.44x
-0.32 + 1.44x = 4 + -0.8x + 0.8x

Combine like terms: -0.8x + 0.8x = 0.0
-0.32 + 1.44x = 4 + 0.0
-0.32 + 1.44x = 4

Add '0.32' to each side of the equation.
-0.32 + 0.32 + 1.44x = 4 + 0.32

Combine like terms: -0.32 + 0.32 = 0.00
0.00 + 1.44x = 4 + 0.32
1.44x = 4 + 0.32

Combine like terms: 4 + 0.32 = 4.32
1.44x = 4.32

Divide each side by '1.44'.
x = 3

Simplifying
x = 3

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