7.3x+6=4(x-2)+11

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Solution for 7.3x+6=4(x-2)+11 equation:


Simplifying
7.3x + 6 = 4(x + -2) + 11

Reorder the terms:
6 + 7.3x = 4(x + -2) + 11

Reorder the terms:
6 + 7.3x = 4(-2 + x) + 11
6 + 7.3x = (-2 * 4 + x * 4) + 11
6 + 7.3x = (-8 + 4x) + 11

Reorder the terms:
6 + 7.3x = -8 + 11 + 4x

Combine like terms: -8 + 11 = 3
6 + 7.3x = 3 + 4x

Solving
6 + 7.3x = 3 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
6 + 7.3x + -4x = 3 + 4x + -4x

Combine like terms: 7.3x + -4x = 3.3x
6 + 3.3x = 3 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 + 3.3x = 3 + 0
6 + 3.3x = 3

Add '-6' to each side of the equation.
6 + -6 + 3.3x = 3 + -6

Combine like terms: 6 + -6 = 0
0 + 3.3x = 3 + -6
3.3x = 3 + -6

Combine like terms: 3 + -6 = -3
3.3x = -3

Divide each side by '3.3'.
x = -0.9090909091

Simplifying
x = -0.9090909091

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