4x+6-6x=3(x+3)-11

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


Simplifying
4x + 6 + -6x = 3(x + 3) + -11

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

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

Reorder the terms:
6 + -2x = 3(3 + x) + -11
6 + -2x = (3 * 3 + x * 3) + -11
6 + -2x = (9 + 3x) + -11

Reorder the terms:
6 + -2x = 9 + -11 + 3x

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

Solving
6 + -2x = -2 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
6 + -2x + -3x = -2 + 3x + -3x

Combine like terms: -2x + -3x = -5x
6 + -5x = -2 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 + -5x = -2 + 0
6 + -5x = -2

Add '-6' to each side of the equation.
6 + -6 + -5x = -2 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = -2 + -6
-5x = -2 + -6

Combine like terms: -2 + -6 = -8
-5x = -8

Divide each side by '-5'.
x = 1.6

Simplifying
x = 1.6

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