5x-11=6(3x-10)

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Solution for 5x-11=6(3x-10) equation:


Simplifying
5x + -11 = 6(3x + -10)

Reorder the terms:
-11 + 5x = 6(3x + -10)

Reorder the terms:
-11 + 5x = 6(-10 + 3x)
-11 + 5x = (-10 * 6 + 3x * 6)
-11 + 5x = (-60 + 18x)

Solving
-11 + 5x = -60 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
-11 + 5x + -18x = -60 + 18x + -18x

Combine like terms: 5x + -18x = -13x
-11 + -13x = -60 + 18x + -18x

Combine like terms: 18x + -18x = 0
-11 + -13x = -60 + 0
-11 + -13x = -60

Add '11' to each side of the equation.
-11 + 11 + -13x = -60 + 11

Combine like terms: -11 + 11 = 0
0 + -13x = -60 + 11
-13x = -60 + 11

Combine like terms: -60 + 11 = -49
-13x = -49

Divide each side by '-13'.
x = 3.769230769

Simplifying
x = 3.769230769

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