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

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


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

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

Reorder the terms for easier multiplication:
6 * 8(-2 + x) = 3(x + 5) * 11

Multiply 6 * 8
48(-2 + x) = 3(x + 5) * 11
(-2 * 48 + x * 48) = 3(x + 5) * 11
(-96 + 48x) = 3(x + 5) * 11

Reorder the terms:
-96 + 48x = 3(5 + x) * 11

Reorder the terms for easier multiplication:
-96 + 48x = 3 * 11(5 + x)

Multiply 3 * 11
-96 + 48x = 33(5 + x)
-96 + 48x = (5 * 33 + x * 33)
-96 + 48x = (165 + 33x)

Solving
-96 + 48x = 165 + 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.
-96 + 48x + -33x = 165 + 33x + -33x

Combine like terms: 48x + -33x = 15x
-96 + 15x = 165 + 33x + -33x

Combine like terms: 33x + -33x = 0
-96 + 15x = 165 + 0
-96 + 15x = 165

Add '96' to each side of the equation.
-96 + 96 + 15x = 165 + 96

Combine like terms: -96 + 96 = 0
0 + 15x = 165 + 96
15x = 165 + 96

Combine like terms: 165 + 96 = 261
15x = 261

Divide each side by '15'.
x = 17.4

Simplifying
x = 17.4

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