1.3x+14.4=3.5x-1

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Solution for 1.3x+14.4=3.5x-1 equation:


Simplifying
1.3x + 14.4 = 3.5x + -1

Reorder the terms:
14.4 + 1.3x = 3.5x + -1

Reorder the terms:
14.4 + 1.3x = -1 + 3.5x

Solving
14.4 + 1.3x = -1 + 3.5x

Solving for variable 'x'.

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

Add '-3.5x' to each side of the equation.
14.4 + 1.3x + -3.5x = -1 + 3.5x + -3.5x

Combine like terms: 1.3x + -3.5x = -2.2x
14.4 + -2.2x = -1 + 3.5x + -3.5x

Combine like terms: 3.5x + -3.5x = 0.0
14.4 + -2.2x = -1 + 0.0
14.4 + -2.2x = -1

Add '-14.4' to each side of the equation.
14.4 + -14.4 + -2.2x = -1 + -14.4

Combine like terms: 14.4 + -14.4 = 0.0
0.0 + -2.2x = -1 + -14.4
-2.2x = -1 + -14.4

Combine like terms: -1 + -14.4 = -15.4
-2.2x = -15.4

Divide each side by '-2.2'.
x = 7

Simplifying
x = 7

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