2(1.2x+4)=4(1.6x+1)+1

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Solution for 2(1.2x+4)=4(1.6x+1)+1 equation:


Simplifying
2(1.2x + 4) = 4(1.6x + 1) + 1

Reorder the terms:
2(4 + 1.2x) = 4(1.6x + 1) + 1
(4 * 2 + 1.2x * 2) = 4(1.6x + 1) + 1
(8 + 2.4x) = 4(1.6x + 1) + 1

Reorder the terms:
8 + 2.4x = 4(1 + 1.6x) + 1
8 + 2.4x = (1 * 4 + 1.6x * 4) + 1
8 + 2.4x = (4 + 6.4x) + 1

Reorder the terms:
8 + 2.4x = 4 + 1 + 6.4x

Combine like terms: 4 + 1 = 5
8 + 2.4x = 5 + 6.4x

Solving
8 + 2.4x = 5 + 6.4x

Solving for variable 'x'.

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

Add '-6.4x' to each side of the equation.
8 + 2.4x + -6.4x = 5 + 6.4x + -6.4x

Combine like terms: 2.4x + -6.4x = -4x
8 + -4x = 5 + 6.4x + -6.4x

Combine like terms: 6.4x + -6.4x = 0.0
8 + -4x = 5 + 0.0
8 + -4x = 5

Add '-8' to each side of the equation.
8 + -8 + -4x = 5 + -8

Combine like terms: 8 + -8 = 0
0 + -4x = 5 + -8
-4x = 5 + -8

Combine like terms: 5 + -8 = -3
-4x = -3

Divide each side by '-4'.
x = 0.75

Simplifying
x = 0.75

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