6x+7.78=4x+11

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Solution for 6x+7.78=4x+11 equation:


Simplifying
6x + 7.78 = 4x + 11

Reorder the terms:
7.78 + 6x = 4x + 11

Reorder the terms:
7.78 + 6x = 11 + 4x

Solving
7.78 + 6x = 11 + 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.
7.78 + 6x + -4x = 11 + 4x + -4x

Combine like terms: 6x + -4x = 2x
7.78 + 2x = 11 + 4x + -4x

Combine like terms: 4x + -4x = 0
7.78 + 2x = 11 + 0
7.78 + 2x = 11

Add '-7.78' to each side of the equation.
7.78 + -7.78 + 2x = 11 + -7.78

Combine like terms: 7.78 + -7.78 = 0.00
0.00 + 2x = 11 + -7.78
2x = 11 + -7.78

Combine like terms: 11 + -7.78 = 3.22
2x = 3.22

Divide each side by '2'.
x = 1.61

Simplifying
x = 1.61

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