0.2(2x+3)=4(2-3x)+5

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Solution for 0.2(2x+3)=4(2-3x)+5 equation: 


Simplifying
0.2(2x + 3) = 4(2 + -3x) + 5

Reorder the terms:
0.2(3 + 2x) = 4(2 + -3x) + 5
(3 * 0.2 + 2x * 0.2) = 4(2 + -3x) + 5
(0.6 + 0.4x) = 4(2 + -3x) + 5
0.6 + 0.4x = (2 * 4 + -3x * 4) + 5
0.6 + 0.4x = (8 + -12x) + 5

Reorder the terms:
0.6 + 0.4x = 8 + 5 + -12x

Combine like terms: 8 + 5 = 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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