1.8(2x+3)=3.5(x+2)

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Solution for 1.8(2x+3)=3.5(x+2) equation: 


Simplifying
1.8(2x + 3) = 3.5(x + 2)

Reorder the terms:
1.8(3 + 2x) = 3.5(x + 2)
(3 * 1.8 + 2x * 1.8) = 3.5(x + 2)
(5.4 + 3.6x) = 3.5(x + 2)

Reorder the terms:
5.4 + 3.6x = 3.5(2 + x)
5.4 + 3.6x = (2 * 3.5 + x * 3.5)
5.4 + 3.6x = (7 + 3.5x)

Solving
5.4 + 3.6x = 7 + 3.5x

Solving for variable 'x'.

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

Add '-3.5x' to each side of the equation.
5.4 + 3.6x + -3.5x = 7 + 3.5x + -3.5x

Combine like terms: 3.6x + -3.5x = 0.1x
5.4 + 0.1x = 7 + 3.5x + -3.5x

Combine like terms: 3.5x + -3.5x = 0.0
5.4 + 0.1x = 7 + 0.0
5.4 + 0.1x = 7

Add '-5.4' to each side of the equation.
5.4 + -5.4 + 0.1x = 7 + -5.4

Combine like terms: 5.4 + -5.4 = 0.0
0.0 + 0.1x = 7 + -5.4
0.1x = 7 + -5.4

Combine like terms: 7 + -5.4 = 1.6
0.1x = 1.6

Divide each side by '0.1'.
x = 16

Simplifying
x = 16

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