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

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


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

Reorder the terms:
5(-4 + 3x) = 3(x + -2) * 11
(-4 * 5 + 3x * 5) = 3(x + -2) * 11
(-20 + 15x) = 3(x + -2) * 11

Reorder the terms:
-20 + 15x = 3(-2 + x) * 11

Reorder the terms for easier multiplication:
-20 + 15x = 3 * 11(-2 + x)

Multiply 3 * 11
-20 + 15x = 33(-2 + x)
-20 + 15x = (-2 * 33 + x * 33)
-20 + 15x = (-66 + 33x)

Solving
-20 + 15x = -66 + 33x

Solving for variable 'x'.

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

Add '-33x' to each side of the equation.
-20 + 15x + -33x = -66 + 33x + -33x

Combine like terms: 15x + -33x = -18x
-20 + -18x = -66 + 33x + -33x

Combine like terms: 33x + -33x = 0
-20 + -18x = -66 + 0
-20 + -18x = -66

Add '20' to each side of the equation.
-20 + 20 + -18x = -66 + 20

Combine like terms: -20 + 20 = 0
0 + -18x = -66 + 20
-18x = -66 + 20

Combine like terms: -66 + 20 = -46
-18x = -46

Divide each side by '-18'.
x = 2.555555556

Simplifying
x = 2.555555556

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