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 = 5.9
-0.2x = 5.9

Divide each side by '-0.2'.
x = -29.5

Simplifying
x = -29.5

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