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

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


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

Reorder the terms:
5(-11 + 3x) = 4(3x + -2)
(-11 * 5 + 3x * 5) = 4(3x + -2)
(-55 + 15x) = 4(3x + -2)

Reorder the terms:
-55 + 15x = 4(-2 + 3x)
-55 + 15x = (-2 * 4 + 3x * 4)
-55 + 15x = (-8 + 12x)

Solving
-55 + 15x = -8 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-55 + 15x + -12x = -8 + 12x + -12x

Combine like terms: 15x + -12x = 3x
-55 + 3x = -8 + 12x + -12x

Combine like terms: 12x + -12x = 0
-55 + 3x = -8 + 0
-55 + 3x = -8

Add '55' to each side of the equation.
-55 + 55 + 3x = -8 + 55

Combine like terms: -55 + 55 = 0
0 + 3x = -8 + 55
3x = -8 + 55

Combine like terms: -8 + 55 = 47
3x = 47

Divide each side by '3'.
x = 15.66666667

Simplifying
x = 15.66666667

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