0.12x+0.8(x-4)=0.01(4x-5)

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Solution for 0.12x+0.8(x-4)=0.01(4x-5) equation:


Simplifying
0.12x + 0.8(x + -4) = 0.01(4x + -5)

Reorder the terms:
0.12x + 0.8(-4 + x) = 0.01(4x + -5)
0.12x + (-4 * 0.8 + x * 0.8) = 0.01(4x + -5)
0.12x + (-3.2 + 0.8x) = 0.01(4x + -5)

Reorder the terms:
-3.2 + 0.12x + 0.8x = 0.01(4x + -5)

Combine like terms: 0.12x + 0.8x = 0.92x
-3.2 + 0.92x = 0.01(4x + -5)

Reorder the terms:
-3.2 + 0.92x = 0.01(-5 + 4x)
-3.2 + 0.92x = (-5 * 0.01 + 4x * 0.01)
-3.2 + 0.92x = (-0.05 + 0.04x)

Solving
-3.2 + 0.92x = -0.05 + 0.04x

Solving for variable 'x'.

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

Add '-0.04x' to each side of the equation.
-3.2 + 0.92x + -0.04x = -0.05 + 0.04x + -0.04x

Combine like terms: 0.92x + -0.04x = 0.88x
-3.2 + 0.88x = -0.05 + 0.04x + -0.04x

Combine like terms: 0.04x + -0.04x = 0.00
-3.2 + 0.88x = -0.05 + 0.00
-3.2 + 0.88x = -0.05

Add '3.2' to each side of the equation.
-3.2 + 3.2 + 0.88x = -0.05 + 3.2

Combine like terms: -3.2 + 3.2 = 0.0
0.0 + 0.88x = -0.05 + 3.2
0.88x = -0.05 + 3.2

Combine like terms: -0.05 + 3.2 = 3.15
0.88x = 3.15

Divide each side by '0.88'.
x = 3.579545455

Simplifying
x = 3.579545455

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