4x-2x+3=3x+6x-11

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Solution for 4x-2x+3=3x+6x-11 equation:


Simplifying
4x + -2x + 3 = 3x + 6x + -11

Reorder the terms:
3 + 4x + -2x = 3x + 6x + -11

Combine like terms: 4x + -2x = 2x
3 + 2x = 3x + 6x + -11

Reorder the terms:
3 + 2x = -11 + 3x + 6x

Combine like terms: 3x + 6x = 9x
3 + 2x = -11 + 9x

Solving
3 + 2x = -11 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
3 + 2x + -9x = -11 + 9x + -9x

Combine like terms: 2x + -9x = -7x
3 + -7x = -11 + 9x + -9x

Combine like terms: 9x + -9x = 0
3 + -7x = -11 + 0
3 + -7x = -11

Add '-3' to each side of the equation.
3 + -3 + -7x = -11 + -3

Combine like terms: 3 + -3 = 0
0 + -7x = -11 + -3
-7x = -11 + -3

Combine like terms: -11 + -3 = -14
-7x = -14

Divide each side by '-7'.
x = 2

Simplifying
x = 2

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