1.3(x+3)=1.5x+2

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Solution for 1.3(x+3)=1.5x+2 equation: 


Simplifying
1.3(x + 3) = 1.5x + 2

Reorder the terms:
1.3(3 + x) = 1.5x + 2
(3 * 1.3 + x * 1.3) = 1.5x + 2
(3.9 + 1.3x) = 1.5x + 2

Reorder the terms:
3.9 + 1.3x = 2 + 1.5x

Solving
3.9 + 1.3x = 2 + 1.5x

Solving for variable 'x'.

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

Add '-1.5x' to each side of the equation.
3.9 + 1.3x + -1.5x = 2 + 1.5x + -1.5x

Combine like terms: 1.3x + -1.5x = -0.2x
3.9 + -0.2x = 2 + 1.5x + -1.5x

Combine like terms: 1.5x + -1.5x = 0.0
3.9 + -0.2x = 2 + 0.0
3.9 + -0.2x = 2

Add '-3.9' to each side of the equation.
3.9 + -3.9 + -0.2x = 2 + -3.9

Combine like terms: 3.9 + -3.9 = 0.0
0.0 + -0.2x = 2 + -3.9
-0.2x = 2 + -3.9

Combine like terms: 2 + -3.9 = -1.9
-0.2x = -1.9

Divide each side by '-0.2'.
x = 9.5

Simplifying
x = 9.5

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