0.24(2x-3)+0.08=0.6(x+8)-1

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Solution for 0.24(2x-3)+0.08=0.6(x+8)-1 equation: 


Simplifying
0.24(2x + -3) + 0.08 = 0.6(x + 8) + -1

Reorder the terms:
0.24(-3 + 2x) + 0.08 = 0.6(x + 8) + -1
(-3 * 0.24 + 2x * 0.24) + 0.08 = 0.6(x + 8) + -1
(-0.72 + 0.48x) + 0.08 = 0.6(x + 8) + -1

Reorder the terms:
-0.72 + 0.08 + 0.48x = 0.6(x + 8) + -1

Combine like terms: -0.72 + 0.08 = -0.64
-0.64 + 0.48x = 0.6(x + 8) + -1

Reorder the terms:
-0.64 + 0.48x = 0.6(8 + x) + -1
-0.64 + 0.48x = (8 * 0.6 + x * 0.6) + -1
-0.64 + 0.48x = (4.8 + 0.6x) + -1

Reorder the terms:
-0.64 + 0.48x = 4.8 + -1 + 0.6x

Combine like terms: 4.8 + -1 = 3.8
-0.64 + 0.48x = 3.8 + 0.6x

Solving
-0.64 + 0.48x = 3.8 + 0.6x

Solving for variable 'x'.

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

Add '-0.6x' to each side of the equation.
-0.64 + 0.48x + -0.6x = 3.8 + 0.6x + -0.6x

Combine like terms: 0.48x + -0.6x = -0.12x
-0.64 + -0.12x = 3.8 + 0.6x + -0.6x

Combine like terms: 0.6x + -0.6x = 0.0
-0.64 + -0.12x = 3.8 + 0.0
-0.64 + -0.12x = 3.8

Add '0.64' to each side of the equation.
-0.64 + 0.64 + -0.12x = 3.8 + 0.64

Combine like terms: -0.64 + 0.64 = 0.00
0.00 + -0.12x = 3.8 + 0.64
-0.12x = 3.8 + 0.64

Combine like terms: 3.8 + 0.64 = 4.44
-0.12x = 4.44

Divide each side by '-0.12'.
x = -37

Simplifying
x = -37

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