x+3.4x-5.1=1.8(x+1.5)

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Solution for x+3.4x-5.1=1.8(x+1.5) equation: 


Simplifying
x + 3.4x + -5.1 = 1.8(x + 1.5)

Reorder the terms:
-5.1 + x + 3.4x = 1.8(x + 1.5)

Combine like terms: x + 3.4x = 4.4x
-5.1 + 4.4x = 1.8(x + 1.5)

Reorder the terms:
-5.1 + 4.4x = 1.8(1.5 + x)
-5.1 + 4.4x = (1.5 * 1.8 + x * 1.8)
-5.1 + 4.4x = (2.7 + 1.8x)

Solving
-5.1 + 4.4x = 2.7 + 1.8x

Solving for variable 'x'.

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

Add '-1.8x' to each side of the equation.
-5.1 + 4.4x + -1.8x = 2.7 + 1.8x + -1.8x

Combine like terms: 4.4x + -1.8x = 2.6x
-5.1 + 2.6x = 2.7 + 1.8x + -1.8x

Combine like terms: 1.8x + -1.8x = 0.0
-5.1 + 2.6x = 2.7 + 0.0
-5.1 + 2.6x = 2.7

Add '5.1' to each side of the equation.
-5.1 + 5.1 + 2.6x = 2.7 + 5.1

Combine like terms: -5.1 + 5.1 = 0.0
0.0 + 2.6x = 2.7 + 5.1
2.6x = 2.7 + 5.1

Combine like terms: 2.7 + 5.1 = 7.8
2.6x = 7.8

Divide each side by '2.6'.
x = 3

Simplifying
x = 3

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