0.6(4x+7)=3(1-2x)+18

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Solution for 0.6(4x+7)=3(1-2x)+18 equation: 


Simplifying
0.6(4x + 7) = 3(1 + -2x) + 18

Reorder the terms:
0.6(7 + 4x) = 3(1 + -2x) + 18
(7 * 0.6 + 4x * 0.6) = 3(1 + -2x) + 18
(4.2 + 2.4x) = 3(1 + -2x) + 18
4.2 + 2.4x = (1 * 3 + -2x * 3) + 18
4.2 + 2.4x = (3 + -6x) + 18

Reorder the terms:
4.2 + 2.4x = 3 + 18 + -6x

Combine like terms: 3 + 18 = 21
4.2 + 2.4x = 21 + -6x

Solving
4.2 + 2.4x = 21 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
4.2 + 2.4x + 6x = 21 + -6x + 6x

Combine like terms: 2.4x + 6x = 8.4x
4.2 + 8.4x = 21 + -6x + 6x

Combine like terms: -6x + 6x = 0
4.2 + 8.4x = 21 + 0
4.2 + 8.4x = 21

Add '-4.2' to each side of the equation.
4.2 + -4.2 + 8.4x = 21 + -4.2

Combine like terms: 4.2 + -4.2 = 0.0
0.0 + 8.4x = 21 + -4.2
8.4x = 21 + -4.2

Combine like terms: 21 + -4.2 = 16.8
8.4x = 16.8

Divide each side by '8.4'.
x = 2

Simplifying
x = 2

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