6(5x-8)-20=11(2x-3)+2x

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Solution for 6(5x-8)-20=11(2x-3)+2x equation: 


Simplifying
6(5x + -8) + -20 = 11(2x + -3) + 2x

Reorder the terms:
6(-8 + 5x) + -20 = 11(2x + -3) + 2x
(-8 * 6 + 5x * 6) + -20 = 11(2x + -3) + 2x
(-48 + 30x) + -20 = 11(2x + -3) + 2x

Reorder the terms:
-48 + -20 + 30x = 11(2x + -3) + 2x

Combine like terms: -48 + -20 = -68
-68 + 30x = 11(2x + -3) + 2x

Reorder the terms:
-68 + 30x = 11(-3 + 2x) + 2x
-68 + 30x = (-3 * 11 + 2x * 11) + 2x
-68 + 30x = (-33 + 22x) + 2x

Combine like terms: 22x + 2x = 24x
-68 + 30x = -33 + 24x

Solving
-68 + 30x = -33 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
-68 + 30x + -24x = -33 + 24x + -24x

Combine like terms: 30x + -24x = 6x
-68 + 6x = -33 + 24x + -24x

Combine like terms: 24x + -24x = 0
-68 + 6x = -33 + 0
-68 + 6x = -33

Add '68' to each side of the equation.
-68 + 68 + 6x = -33 + 68

Combine like terms: -68 + 68 = 0
0 + 6x = -33 + 68
6x = -33 + 68

Combine like terms: -33 + 68 = 35
6x = 35

Divide each side by '6'.
x = 5.833333333

Simplifying
x = 5.833333333

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