-1.2x+2.5=3x+4.6

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Solution for -1.2x+2.5=3x+4.6 equation: 


Simplifying
-1.2x + 2.5 = 3x + 4.6

Reorder the terms:
2.5 + -1.2x = 3x + 4.6

Reorder the terms:
2.5 + -1.2x = 4.6 + 3x

Solving
2.5 + -1.2x = 4.6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
2.5 + -1.2x + -3x = 4.6 + 3x + -3x

Combine like terms: -1.2x + -3x = -4.2x
2.5 + -4.2x = 4.6 + 3x + -3x

Combine like terms: 3x + -3x = 0
2.5 + -4.2x = 4.6 + 0
2.5 + -4.2x = 4.6

Add '-2.5' to each side of the equation.
2.5 + -2.5 + -4.2x = 4.6 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + -4.2x = 4.6 + -2.5
-4.2x = 4.6 + -2.5

Combine like terms: 4.6 + -2.5 = 2.1
-4.2x = 2.1

Divide each side by '-4.2'.
x = -0.5

Simplifying
x = -0.5

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