.2(4x+11)=2(1-2x)+5

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Solution for .2(4x+11)=2(1-2x)+5 equation: 


Simplifying
0.2(4x + 11) = 2(1 + -2x) + 5

Reorder the terms:
0.2(11 + 4x) = 2(1 + -2x) + 5
(11 * 0.2 + 4x * 0.2) = 2(1 + -2x) + 5
(2.2 + 0.8x) = 2(1 + -2x) + 5
2.2 + 0.8x = (1 * 2 + -2x * 2) + 5
2.2 + 0.8x = (2 + -4x) + 5

Reorder the terms:
2.2 + 0.8x = 2 + 5 + -4x

Combine like terms: 2 + 5 = 7
2.2 + 0.8x = 7 + -4x

Solving
2.2 + 0.8x = 7 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
2.2 + 0.8x + 4x = 7 + -4x + 4x

Combine like terms: 0.8x + 4x = 4.8x
2.2 + 4.8x = 7 + -4x + 4x

Combine like terms: -4x + 4x = 0
2.2 + 4.8x = 7 + 0
2.2 + 4.8x = 7

Add '-2.2' to each side of the equation.
2.2 + -2.2 + 4.8x = 7 + -2.2

Combine like terms: 2.2 + -2.2 = 0.0
0.0 + 4.8x = 7 + -2.2
4.8x = 7 + -2.2

Combine like terms: 7 + -2.2 = 4.8
4.8x = 4.8

Divide each side by '4.8'.
x = 1

Simplifying
x = 1

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