18x-2(5-2x)=3(4x)-6.1

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Solution for 18x-2(5-2x)=3(4x)-6.1 equation:


Simplifying
18x + -2(5 + -2x) = 3(4x) + -6.1
18x + (5 * -2 + -2x * -2) = 3(4x) + -6.1
18x + (-10 + 4x) = 3(4x) + -6.1

Reorder the terms:
-10 + 18x + 4x = 3(4x) + -6.1

Combine like terms: 18x + 4x = 22x
-10 + 22x = 3(4x) + -6.1

Remove parenthesis around (4x)
-10 + 22x = 3 * 4x + -6.1

Multiply 3 * 4
-10 + 22x = 12x + -6.1

Reorder the terms:
-10 + 22x = -6.1 + 12x

Solving
-10 + 22x = -6.1 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-10 + 22x + -12x = -6.1 + 12x + -12x

Combine like terms: 22x + -12x = 10x
-10 + 10x = -6.1 + 12x + -12x

Combine like terms: 12x + -12x = 0
-10 + 10x = -6.1 + 0
-10 + 10x = -6.1

Add '10' to each side of the equation.
-10 + 10 + 10x = -6.1 + 10

Combine like terms: -10 + 10 = 0
0 + 10x = -6.1 + 10
10x = -6.1 + 10

Combine like terms: -6.1 + 10 = 3.9
10x = 3.9

Divide each side by '10'.
x = 0.39

Simplifying
x = 0.39

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