2.1(3+4x)-8.1=1.5(2+4x)

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Solution for 2.1(3+4x)-8.1=1.5(2+4x) equation:


Simplifying
2.1(3 + 4x) + -8.1 = 1.5(2 + 4x)
(3 * 2.1 + 4x * 2.1) + -8.1 = 1.5(2 + 4x)
(6.3 + 8.4x) + -8.1 = 1.5(2 + 4x)

Reorder the terms:
6.3 + -8.1 + 8.4x = 1.5(2 + 4x)

Combine like terms: 6.3 + -8.1 = -1.8
-1.8 + 8.4x = 1.5(2 + 4x)
-1.8 + 8.4x = (2 * 1.5 + 4x * 1.5)
-1.8 + 8.4x = (3 + 6x)

Solving
-1.8 + 8.4x = 3 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-1.8 + 8.4x + -6x = 3 + 6x + -6x

Combine like terms: 8.4x + -6x = 2.4x
-1.8 + 2.4x = 3 + 6x + -6x

Combine like terms: 6x + -6x = 0
-1.8 + 2.4x = 3 + 0
-1.8 + 2.4x = 3

Add '1.8' to each side of the equation.
-1.8 + 1.8 + 2.4x = 3 + 1.8

Combine like terms: -1.8 + 1.8 = 0.0
0.0 + 2.4x = 3 + 1.8
2.4x = 3 + 1.8

Combine like terms: 3 + 1.8 = 4.8
2.4x = 4.8

Divide each side by '2.4'.
x = 2

Simplifying
x = 2

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