.20(2x+3)=3(3-4x)+4

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Solution for .20(2x+3)=3(3-4x)+4 equation: 


Simplifying
0.20(2x + 3) = 3(3 + -4x) + 4

Reorder the terms:
0.20(3 + 2x) = 3(3 + -4x) + 4
(3 * 0.20 + 2x * 0.20) = 3(3 + -4x) + 4
(0.6 + 0.4x) = 3(3 + -4x) + 4
0.6 + 0.4x = (3 * 3 + -4x * 3) + 4
0.6 + 0.4x = (9 + -12x) + 4

Reorder the terms:
0.6 + 0.4x = 9 + 4 + -12x

Combine like terms: 9 + 4 = 13
0.6 + 0.4x = 13 + -12x

Solving
0.6 + 0.4x = 13 + -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.
0.6 + 0.4x + 12x = 13 + -12x + 12x

Combine like terms: 0.4x + 12x = 12.4x
0.6 + 12.4x = 13 + -12x + 12x

Combine like terms: -12x + 12x = 0
0.6 + 12.4x = 13 + 0
0.6 + 12.4x = 13

Add '-0.6' to each side of the equation.
0.6 + -0.6 + 12.4x = 13 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + 12.4x = 13 + -0.6
12.4x = 13 + -0.6

Combine like terms: 13 + -0.6 = 12.4
12.4x = 12.4

Divide each side by '12.4'.
x = 1

Simplifying
x = 1

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