1.4(x+2)+0.6=1.6(2x+1)

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Solution for 1.4(x+2)+0.6=1.6(2x+1) equation: 


Simplifying
1.4(x + 2) + 0.6 = 1.6(2x + 1)

Reorder the terms:
1.4(2 + x) + 0.6 = 1.6(2x + 1)
(2 * 1.4 + x * 1.4) + 0.6 = 1.6(2x + 1)
(2.8 + 1.4x) + 0.6 = 1.6(2x + 1)

Reorder the terms:
2.8 + 0.6 + 1.4x = 1.6(2x + 1)

Combine like terms: 2.8 + 0.6 = 3.4
3.4 + 1.4x = 1.6(2x + 1)

Reorder the terms:
3.4 + 1.4x = 1.6(1 + 2x)
3.4 + 1.4x = (1 * 1.6 + 2x * 1.6)
3.4 + 1.4x = (1.6 + 3.2x)

Solving
3.4 + 1.4x = 1.6 + 3.2x

Solving for variable 'x'.

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

Add '-3.2x' to each side of the equation.
3.4 + 1.4x + -3.2x = 1.6 + 3.2x + -3.2x

Combine like terms: 1.4x + -3.2x = -1.8x
3.4 + -1.8x = 1.6 + 3.2x + -3.2x

Combine like terms: 3.2x + -3.2x = 0.0
3.4 + -1.8x = 1.6 + 0.0
3.4 + -1.8x = 1.6

Add '-3.4' to each side of the equation.
3.4 + -3.4 + -1.8x = 1.6 + -3.4

Combine like terms: 3.4 + -3.4 = 0.0
0.0 + -1.8x = 1.6 + -3.4
-1.8x = 1.6 + -3.4

Combine like terms: 1.6 + -3.4 = -1.8
-1.8x = -1.8

Divide each side by '-1.8'.
x = 1

Simplifying
x = 1

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