3x+1.5=2.5x+4.7

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Solution for 3x+1.5=2.5x+4.7 equation: 


Simplifying
3x + 1.5 = 2.5x + 4.7

Reorder the terms:
1.5 + 3x = 2.5x + 4.7

Reorder the terms:
1.5 + 3x = 4.7 + 2.5x

Solving
1.5 + 3x = 4.7 + 2.5x

Solving for variable 'x'.

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

Add '-2.5x' to each side of the equation.
1.5 + 3x + -2.5x = 4.7 + 2.5x + -2.5x

Combine like terms: 3x + -2.5x = 0.5x
1.5 + 0.5x = 4.7 + 2.5x + -2.5x

Combine like terms: 2.5x + -2.5x = 0.0
1.5 + 0.5x = 4.7 + 0.0
1.5 + 0.5x = 4.7

Add '-1.5' to each side of the equation.
1.5 + -1.5 + 0.5x = 4.7 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 0.5x = 4.7 + -1.5
0.5x = 4.7 + -1.5

Combine like terms: 4.7 + -1.5 = 3.2
0.5x = 3.2

Divide each side by '0.5'.
x = 6.4

Simplifying
x = 6.4

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