3x-11+8x=4(5x-4)+2

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Solution for 3x-11+8x=4(5x-4)+2 equation:


Simplifying
3x + -11 + 8x = 4(5x + -4) + 2

Reorder the terms:
-11 + 3x + 8x = 4(5x + -4) + 2

Combine like terms: 3x + 8x = 11x
-11 + 11x = 4(5x + -4) + 2

Reorder the terms:
-11 + 11x = 4(-4 + 5x) + 2
-11 + 11x = (-4 * 4 + 5x * 4) + 2
-11 + 11x = (-16 + 20x) + 2

Reorder the terms:
-11 + 11x = -16 + 2 + 20x

Combine like terms: -16 + 2 = -14
-11 + 11x = -14 + 20x

Solving
-11 + 11x = -14 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
-11 + 11x + -20x = -14 + 20x + -20x

Combine like terms: 11x + -20x = -9x
-11 + -9x = -14 + 20x + -20x

Combine like terms: 20x + -20x = 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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