3x+5=7x-6+4x

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Solution for 3x+5=7x-6+4x equation:


Simplifying
3x + 5 = 7x + -6 + 4x

Reorder the terms:
5 + 3x = 7x + -6 + 4x

Reorder the terms:
5 + 3x = -6 + 7x + 4x

Combine like terms: 7x + 4x = 11x
5 + 3x = -6 + 11x

Solving
5 + 3x = -6 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
5 + 3x + -11x = -6 + 11x + -11x

Combine like terms: 3x + -11x = -8x
5 + -8x = -6 + 11x + -11x

Combine like terms: 11x + -11x = 0
5 + -8x = -6 + 0
5 + -8x = -6

Add '-5' to each side of the equation.
5 + -5 + -8x = -6 + -5

Combine like terms: 5 + -5 = 0
0 + -8x = -6 + -5
-8x = -6 + -5

Combine like terms: -6 + -5 = -11
-8x = -11

Divide each side by '-8'.
x = 1.375

Simplifying
x = 1.375

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