2x-11+4x=5(3x-4)+6

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Solution for 2x-11+4x=5(3x-4)+6 equation:


Simplifying
2x + -11 + 4x = 5(3x + -4) + 6

Reorder the terms:
-11 + 2x + 4x = 5(3x + -4) + 6

Combine like terms: 2x + 4x = 6x
-11 + 6x = 5(3x + -4) + 6

Reorder the terms:
-11 + 6x = 5(-4 + 3x) + 6
-11 + 6x = (-4 * 5 + 3x * 5) + 6
-11 + 6x = (-20 + 15x) + 6

Reorder the terms:
-11 + 6x = -20 + 6 + 15x

Combine like terms: -20 + 6 = -14
-11 + 6x = -14 + 15x

Solving
-11 + 6x = -14 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
-11 + 6x + -15x = -14 + 15x + -15x

Combine like terms: 6x + -15x = -9x
-11 + -9x = -14 + 15x + -15x

Combine like terms: 15x + -15x = 0
-11 + -9x = -14 + 0
-11 + -9x = -14

Add '11' to each side of the equation.
-11 + 11 + -9x = -14 + 11

Combine like terms: -11 + 11 = 0
0 + -9x = -14 + 11
-9x = -14 + 11

Combine like terms: -14 + 11 = -3
-9x = -3

Divide each side by '-9'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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