1.9x-40.3=6.5(7.4+3x)-4x

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Solution for 1.9x-40.3=6.5(7.4+3x)-4x equation:


Simplifying
1.9x + -40.3 = 6.5(7.4 + 3x) + -4x

Reorder the terms:
-40.3 + 1.9x = 6.5(7.4 + 3x) + -4x
-40.3 + 1.9x = (7.4 * 6.5 + 3x * 6.5) + -4x
-40.3 + 1.9x = (48.1 + 19.5x) + -4x

Combine like terms: 19.5x + -4x = 15.5x
-40.3 + 1.9x = 48.1 + 15.5x

Solving
-40.3 + 1.9x = 48.1 + 15.5x

Solving for variable 'x'.

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

Add '-15.5x' to each side of the equation.
-40.3 + 1.9x + -15.5x = 48.1 + 15.5x + -15.5x

Combine like terms: 1.9x + -15.5x = -13.6x
-40.3 + -13.6x = 48.1 + 15.5x + -15.5x

Combine like terms: 15.5x + -15.5x = 0.0
-40.3 + -13.6x = 48.1 + 0.0
-40.3 + -13.6x = 48.1

Add '40.3' to each side of the equation.
-40.3 + 40.3 + -13.6x = 48.1 + 40.3

Combine like terms: -40.3 + 40.3 = 0.0
0.0 + -13.6x = 48.1 + 40.3
-13.6x = 48.1 + 40.3

Combine like terms: 48.1 + 40.3 = 88.4
-13.6x = 88.4

Divide each side by '-13.6'.
x = -6.5

Simplifying
x = -6.5

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